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

167 is a Chen prime, a Gaussian prime, a safe prime, and an Eisenstein prime with no imaginary part and a real part of the form ${\displaystyle 3n-1}$.

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)

167 is also:

...
Wikipedia