82804 has 12 divisors (see below), whose sum is σ = 146944. Its totient is φ = 40824.

The previous prime is 82799. The next prime is 82811. The reversal of 82804 is 40828.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427 + ... + 589.

2⁸²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

82804 is a deficient number, since it is larger than the sum of its proper divisors (64140).

82804 is a wasteful number, since it uses less digits than its factorization.

82804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82804 is about 287.7568417953. The cubic root of 82804 is about 43.5863436735.

The spelling of 82804 in words is "eighty-two thousand, eight hundred four".