57362 has 16 divisors (see below), whose sum is σ = 95040. Its totient is φ = 25872.

The previous prime is 57349. The next prime is 57367. The reversal of 57362 is 26375.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (57367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁵⁷³⁶² is an apocalyptic number.

57362 is a deficient number, since it is larger than the sum of its proper divisors (37678).

57362 is a wasteful number, since it uses less digits than its factorization.

57362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 1260, while the sum is 23.

The square root of 57362 is about 239.5036534168. The cubic root of 57362 is about 38.5663106411.

The spelling of 57362 in words is "fifty-seven thousand, three hundred sixty-two".