167 has 2 divisors, whose sum is σ = 168. Its totient is φ = 166.

The previous prime is 163. The next prime is 173. The reversal of 167 is 761.

It is a happy number.

167 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a weak prime.

167 is a truncatable prime.

It is an emirp because it is prime and its reverse (761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167 - 2² = 163 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 8, base 10, base 12 and base 14.

It is a nialpdrome in base 13, base 15 and base 16.

It is a congruent number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83 + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

167 is a deficient number, since it is larger than the sum of its proper divisors (1).

167 is an equidigital number, since it uses as much as digits as its factorization.

167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 14.

The square root of 167 is about 12.9228479833. The cubic root of 167 is about 5.5068784464.

Adding to 167 its sum of digits (14), we get a palindrome (181).

Subtracting from 167 its sum of digits (14), we obtain a triangular number (153 = T₁₇).

Subtracting from 167 its product of digits (42), we obtain a cube (125 = 5³).

The spelling of 167 in words is "one hundred sixty-seven", and thus it is an aban number.