167 (number)

← 166 167 168 →
← 160 161 162 163 164 165 166 167 168 169 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred sixty-seven
Ordinal	167th (one hundred and sixty-seventh)
Factorization	prime
Prime	39th
Divisors	1, 167
Roman numeral	CLXVII
Binary	101001112
Ternary	200123
Quaternary	22134
Quinary	11325
Senary	4356
Octal	2478
Duodecimal	11B12
Hexadecimal	A716
Vigesimal	8720
Base 36	4N36

167 (one hundred [and] sixty-seven) is the natural number following 166 and preceding 168

In mathematics

167 is a Chen prime, a Gaussian prime, a safe prime,^[1] and an Eisenstein prime with no imaginary part and a real part of the form $3n-1$.

167 is the only prime which can not be expressed as a sum of seven or fewer cubes.

167 is a full reptend prime in base 10, since the decimal expansion of 1/167 repeats the following 166 digits: 0.00598802395209580838323353293413173652694610778443113772455089820359281437125748502994 0119760479041916167664670658682634730538922155688622754491017964071856287425149700...

167 is a highly cototient number, as it is the smallest number k with exactly 15 solutions to the equation x - φ(x) = k. It is also a strictly non-palindromic number.

167 is the smallest multi-digit prime such that the product of digits is equal to the number of digits times the sum of the digits, i. e., 1×6×7 = 3×(1+6+7)

In astronomy

• 167 Urda is a main belt asteroid
• 167P/CINEOS is a periodic comet in our solar system
• IC 167 is interacting galaxies

In the military

• Marine Light Attack Helicopter Squadron 167 is a United States Marine Corps helicopter squadron
• Martin Model 167 was a U.S.-designed light bomber during World War II
• USCGC Acushnet (WMEC-167) was a U.S. Navy diver-class rescue and salvage ship during World War II
• USS Acree (DE-167) was a U.S. Navy Cannon-class destroyer escort during World War II
• USS Caledonia (AK-167) was a U.S. Navy Alamosa-class cargo ship during World War II
• USS Cowell (DD-167) was a U.S. Navy Wickes class destroyer during World War I
• USS Freestone (APA-167) was a U.S. Navy Haskell-class attack transport during World War II
• USS Leyden (IX-167) was a transport ship during World War II
• USS Narwhal (SS-167) was a U.S. Navy Narwhal class submarine during World War II

In sports

• Martina Navratilova has 167 tennis titles, an all-time record for men or women

In transportation

• London Buses route 167
• SMRT Bus Service 167 in Singapore
• 167th Street is an elevated local station in the Bronx on the IRT Jerome Avenue Line, 4 train, of the New York City Subway.
• 167th Street is an underground local station in the Bronx on the IND Concourse Line, B D trains, of the New York City Subway.
• List of highways numbered 167

In other fields

167 is also:

• The year AD 167 or 167 BC
• The atomic number of an element temporarily called Unhexseptium
• The Universal Disk Format (or ECMA-167) format of a file system for optical media storage
• C167 family is a 16-bit microcontroller architecture from Infineon
• Pips are dots on the face of a die, denoting its value. The pip count at the start of a backgammon game is 167

See also

• M167 (disambiguation)
• List of highways numbered 167
• United States Supreme Court cases, Volume 167
• United Nations Security Council Resolution 167

External links

• The Number 167
• Number Facts and Trivia: 167
• Prime curiosities: 167

References

1. "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.