57304 has 32 divisors (see below), whose sum is σ = 126000. Its totient is φ = 24192.

The previous prime is 57301. The next prime is 57329. The reversal of 57304 is 40375.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 (57301) 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 7 ways as a sum of consecutive naturals, for example, 1962 + ... + 1990.

2⁵⁷³⁰⁴ 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 57304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

57304 is an abundant number, since it is smaller than the sum of its proper divisors (68696).

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

57304 is a wasteful number, since it uses less digits than its factorization.

57304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 57304 is about 239.3825390458. The cubic root of 57304 is about 38.5533078381.

Adding to 57304 its reverse (40375), we get a palindrome (97679).

It can be divided in two parts, 57 and 304, that added together give a square (361 = 19²).

The spelling of 57304 in words is "fifty-seven thousand, three hundred four".