167967 has 8 divisors (see below), whose sum is σ = 248880. Its totient is φ = 111960.

The previous prime is 167953. The next prime is 167971. The reversal of 167967 is 769761.

It is not a de Polignac number, because 167967 - 2⁸ = 167711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3084 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (31110).

2¹⁶⁷⁹⁶⁷ is an apocalyptic number.

167967 is a deficient number, since it is larger than the sum of its proper divisors (80913).

167967 is an equidigital number, since it uses as much as digits as its factorization.

167967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6224 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 167967 is about 409.8377727833. The cubic root of 167967 is about 55.1748704141.

The spelling of 167967 in words is "one hundred sixty-seven thousand, nine hundred sixty-seven".