82304 has 16 divisors (see below), whose sum is σ = 164220. Its totient is φ = 41088.

The previous prime is 82301. The next prime is 82307. The reversal of 82304 is 40328.

It is an interprime number because it is at equal distance from previous prime (82301) and next prime (82307).

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 194 + ... + 449.

2⁸²³⁰⁴ is an apocalyptic number.

It is an amenable number.

82304 is a deficient number, since it is larger than the sum of its proper divisors (81916).

82304 is an equidigital number, since it uses as much as digits as its factorization.

82304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 82304 is about 286.8867372327. The cubic root of 82304 is about 43.4984365493.

The spelling of 82304 in words is "eighty-two thousand, three hundred four".