82553625 has 96 divisors (see below), whose sum is σ = 185732352. Its totient is φ = 34272000.

The previous prime is 82553587. The next prime is 82553659. The reversal of 82553625 is 52635528.

It is a happy number.

82553625 is a `hidden beast` number, since 8 + 25 + 5 + 3 + 625 = 666.

It is not a de Polignac number, because 82553625 - 2⁸ = 82553369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82553625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86149 + ... + 87101.

It is an arithmetic number, because the mean of its divisors is an integer number (1934712).

Almost surely, 2^82553625 is an apocalyptic number.

It is an amenable number.

82553625 is an abundant number, since it is smaller than the sum of its proper divisors (103178727).

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

82553625 is a wasteful number, since it uses less digits than its factorization.

82553625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 82553625 is about 9085.9025418502. The cubic root of 82553625 is about 435.4236854964.

The spelling of 82553625 in words is "eighty-two million, five hundred fifty-three thousand, six hundred twenty-five".