57731 has 2 divisors, whose sum is σ = 57732. Its totient is φ = 57730.

The previous prime is 57727. The next prime is 57737. The reversal of 57731 is 13775.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 57731 - 2² = 57727 is a prime.

It is a super-2 number, since 2×57731² = 6665736722, which contains 22 as substring.

It is a Chen prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 57697 and 57706.

It is not a weakly prime, because it can be changed into another prime (57737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28865 + 28866.

It is an arithmetic number, because the mean of its divisors is an integer number (28866).

2⁵⁷⁷³¹ is an apocalyptic number.

57731 is a deficient number, since it is larger than the sum of its proper divisors (1).

57731 is an equidigital number, since it uses as much as digits as its factorization.

57731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 735, while the sum is 23.

The square root of 57731 is about 240.2727616689. The cubic root of 57731 is about 38.6488307885.

Subtracting from 57731 its reverse (13775), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 57731 in words is "fifty-seven thousand, seven hundred thirty-one".