82506957 has 32 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 47712192.

The previous prime is 82506937. The next prime is 82506971. The reversal of 82506957 is 75960528.

It is not a de Polignac number, because 82506957 - 2⁷ = 82506829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82506917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52144 + ... + 53702.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^82506957 is an apocalyptic number.

It is an amenable number.

82506957 is a deficient number, since it is larger than the sum of its proper divisors (43291443).

82506957 is a wasteful number, since it uses less digits than its factorization.

82506957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 82506957 is about 9083.3340244648. The cubic root of 82506957 is about 435.3416209280.

The spelling of 82506957 in words is "eighty-two million, five hundred six thousand, nine hundred fifty-seven".