82057932 has 144 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 23587200.

The previous prime is 82057919. The next prime is 82057957. The reversal of 82057932 is 23975028.

It is a happy number.

82057932 is a `hidden beast` number, since 82 + 0 + 579 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038669 + ... + 1038747.

Almost surely, 2^82057932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82057932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

82057932 is an abundant number, since it is smaller than the sum of its proper divisors (156260148).

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

82057932 is a wasteful number, since it uses less digits than its factorization.

82057932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82057932 is about 9058.5833329500. The cubic root of 82057932 is about 434.5504352655.

The spelling of 82057932 in words is "eighty-two million, fifty-seven thousand, nine hundred thirty-two".