57316 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 23232.

The previous prime is 57301. The next prime is 57329. The reversal of 57316 is 61375.

It is a nialpdrome in base 9.

It is an unprimeable number.

57316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 600 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁷³¹⁶ 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 57316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

57316 is an abundant number, since it is smaller than the sum of its proper divisors (63644).

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

57316 is a wasteful number, since it uses less digits than its factorization.

57316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its digits is 630, while the sum is 22.

The square root of 57316 is about 239.4076022185. The cubic root of 57316 is about 38.5559987928. Note that the first 3 decimals are identical.

It can be divided in two parts, 57 and 316, that added together give a palindrome (373).

The spelling of 57316 in words is "fifty-seven thousand, three hundred sixteen".