82904 has 16 divisors (see below), whose sum is σ = 159720. Its totient is φ = 40320.

The previous prime is 82903. The next prime is 82913. The reversal of 82904 is 40928.

It is a self number, because there is not a number n which added to its sum of digits gives 82904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 464.

2⁸²⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

82904 is a deficient number, since it is larger than the sum of its proper divisors (76816).

82904 is a wasteful number, since it uses less digits than its factorization.

82904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82904 is about 287.9305471811. The cubic root of 82904 is about 43.6038826046.

Subtracting from 82904 its product of nonzero digits (576), we obtain a palindrome (82328).

It can be divided in two parts, 8 and 2904, that multiplied together give a palindrome (23232).

The spelling of 82904 in words is "eighty-two thousand, nine hundred four".