167 (number)

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167 is the natural number following 166 and preceding 168.

List of numbersIntegers

<< 160 161 162 163 164 165 166 167 168 169 >>

Cardinal One hundred [and]
sixty-seven
Ordinal 167th
Factorization prime
Roman numeral CLXVII
Binary 10100111
Hexadecimal A7

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[edit] In mathematics

  • 167 is an odd number
  • 167 is a Chen prime, since the next odd number, 169, is a square of a prime
  • 167 is an Eisenstein prime with no imaginary part and a real part of the form 3n - 1
  • 167 is a full reptend prime in base 10, since the decimal expansion of 1/167 repeats to infinity
  • 167 is a Gaussian prime number
  • 167 is a happy number in base 10, as the iteration of the digit-squaring procedure gives: 1^2 + 6^2 + 7^2 = 86, 8^2 + 6^2 = 100, and obviously 1^2 + 0^2 + 0^2 = 1
  • 167 is a highly cototient number, as it is the smallest number k with exactly 15 solutions to the equation x - φ(x) = k
  • 167 is a safe prime
  • 167 is a strictly non-palindromic number; thus its not palindromic in any base from binary to base 165
  • 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 the largest prime number less than 168

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