82992032 has 24 divisors (see below), whose sum is σ = 165364416. Its totient is φ = 40994752.

The previous prime is 82992031. The next prime is 82992047. The reversal of 82992032 is 23029928.

It is a junction number, because it is equal to n+sod(n) for n = 82991983 and 82992001.

It is not an unprimeable number, because it can be changed into a prime (82992031) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12968 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2^82992032 is an apocalyptic number.

It is an amenable number.

82992032 is a deficient number, since it is larger than the sum of its proper divisors (82372384).

82992032 is a wasteful number, since it uses less digits than its factorization.

82992032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31340 (or 31332 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82992032 is about 9109.9962678368. The cubic root of 82992032 is about 436.1931080726.

The spelling of 82992032 in words is "eighty-two million, nine hundred ninety-two thousand, thirty-two".