57981 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 30000.

The previous prime is 57977. The next prime is 57991. The reversal of 57981 is 18975.

It is not a de Polignac number, because 57981 - 2² = 57977 is a prime.

It is a super-2 number, since 2×57981² = 6723592722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57981.

It is not an unprimeable number, because it can be changed into a prime (57901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁵⁷⁹⁸¹ is an apocalyptic number.

It is an amenable number.

57981 is a deficient number, since it is larger than the sum of its proper divisors (38787).

57981 is a wasteful number, since it uses less digits than its factorization.

57981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 2520, while the sum is 30.

The square root of 57981 is about 240.7924417418. The cubic root of 57981 is about 38.7045391253.

The spelling of 57981 in words is "fifty-seven thousand, nine hundred eighty-one".