82531164 has 48 divisors (see below), whose sum is σ = 199248896. Its totient is φ = 26568000.

The previous prime is 82531159. The next prime is 82531177. The reversal of 82531164 is 46113528.

It is a super-2 number, since 2×82531164² = 13622786062389792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66429 + ... + 67659.

Almost surely, 2^82531164 is an apocalyptic number.

It is an amenable number.

82531164 is an abundant number, since it is smaller than the sum of its proper divisors (116717732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82531164 is a wasteful number, since it uses less digits than its factorization.

82531164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 82531164 is about 9084.6664220543. Note that the first 3 decimals coincide. The cubic root of 82531164 is about 435.3841922236.

The spelling of 82531164 in words is "eighty-two million, five hundred thirty-one thousand, one hundred sixty-four".