167264 has 12 divisors (see below), whose sum is σ = 329364. Its totient is φ = 83616.

The previous prime is 167261. The next prime is 167267. The reversal of 167264 is 462761.

It is an interprime number because it is at equal distance from previous prime (167261) and next prime (167267).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2582 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (27447).

2¹⁶⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

167264 is a deficient number, since it is larger than the sum of its proper divisors (162100).

167264 is an equidigital number, since it uses as much as digits as its factorization.

167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5229 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 167264 is about 408.9792170759. The cubic root of 167264 is about 55.0977874679.

The spelling of 167264 in words is "one hundred sixty-seven thousand, two hundred sixty-four".