82153932 has 48 divisors (see below), whose sum is σ = 223749120. Its totient is φ = 22972032.

The previous prime is 82153913. The next prime is 82153961. The reversal of 82153932 is 23935128.

It is a junction number, because it is equal to n+sod(n) for n = 82153893 and 82153902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6457 + ... + 14352.

It is an arithmetic number, because the mean of its divisors is an integer number (4661440).

Almost surely, 2^82153932 is an apocalyptic number.

It is an amenable number.

82153932 is an abundant number, since it is smaller than the sum of its proper divisors (141595188).

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

82153932 is a wasteful number, since it uses less digits than its factorization.

82153932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870 (or 20868 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 82153932 is about 9063.8806258688. The cubic root of 82153932 is about 434.7198301596.

The spelling of 82153932 in words is "eighty-two million, one hundred fifty-three thousand, nine hundred thirty-two".