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167 is a prime number from 101-200. 167 has 2 factors, 1 and 167. It is said to be another number wherein when digits are added together, they make a composite number. It is the 39th prime number, and the fourteenth prime number from 101-200.

Proofs

  • Yes — 167 can be divided by 1.
  • No — 167 cannot be divided by 2-166.
  • Yes — 167 can be divided by 167.

As an Exponent of Mersenne Number

2167 - 1 is divisible by 2,349,023, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 163.
    • Notably, 169 is not a prime number. It is a square number, being 132 = 169.
    • 163 and 167 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 163 is 157.
    • In particular, 161 is divisible by 7, therefore not a prime number.

The numbers after

  • The next prime number is 173.
    • 167 and 173 are six numbers apart; therefore, they are sexy primes.
  • 179 is the next prime number after 173.

Trivia

  • 167 is a very hard level in Candy Crush Saga.