82525032 has 48 divisors (see below), whose sum is σ = 223930980. Its totient is φ = 27456000.

The previous prime is 82525031. The next prime is 82525043. The reversal of 82525032 is 23052528.

It can be written as a sum of positive squares in 2 ways, for example, as 60000516 + 22524516 = 7746^2 + 4746^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82524987 and 82525005.

It is not an unprimeable number, because it can be changed into a prime (82525031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62782 + ... + 64082.

Almost surely, 2^82525032 is an apocalyptic number.

It is an amenable number.

82525032 is an abundant number, since it is smaller than the sum of its proper divisors (141405948).

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

82525032 is a wasteful number, since it uses less digits than its factorization.

82525032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82525032 is about 9084.3289240318. The cubic root of 82525032 is about 435.3734090565.

The spelling of 82525032 in words is "eighty-two million, five hundred twenty-five thousand, thirty-two".