57204 has 36 divisors (see below), whose sum is σ = 165984. Its totient is φ = 16272.

The previous prime is 57203. The next prime is 57221. The reversal of 57204 is 40275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 365.

2⁵⁷²⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

57204 is an abundant number, since it is smaller than the sum of its proper divisors (108780).

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

57204 is a wasteful number, since it uses less digits than its factorization.

57204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57204 is about 239.1735771359. The cubic root of 57204 is about 38.5308685926.

Adding to 57204 its reverse (40275), we get a palindrome (97479).

It can be divided in two parts, 57 and 204, that multiplied together give a triangular number (11628 = T₁₅₂).

The spelling of 57204 in words is "fifty-seven thousand, two hundred four".