57324 has 24 divisors (see below), whose sum is σ = 142128. Its totient is φ = 17920.

The previous prime is 57301. The next prime is 57329. The reversal of 57324 is 42375.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57324.

It is not an unprimeable number, because it can be changed into a prime (57329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (5922).

2⁵⁷³²⁴ 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 57324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71064).

57324 is an abundant number, since it is smaller than the sum of its proper divisors (84804).

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

57324 is a wasteful number, since it uses less digits than its factorization.

57324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 57324 is about 239.4243095427. The cubic root of 57324 is about 38.5577925540.

Adding to 57324 its reverse (42375), we get a palindrome (99699).

The spelling of 57324 in words is "fifty-seven thousand, three hundred twenty-four".