57131 has 2 divisors, whose sum is σ = 57132. Its totient is φ = 57130.

The previous prime is 57119. The next prime is 57139. The reversal of 57131 is 13175.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57131 is a prime.

It is a super-2 number, since 2×57131² = 6527902322, which contains 22 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (57139) by changing a digit.

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 as a sum of consecutive naturals, namely, 28565 + 28566.

It is an arithmetic number, because the mean of its divisors is an integer number (28566).

2⁵⁷¹³¹ is an apocalyptic number.

57131 is a deficient number, since it is larger than the sum of its proper divisors (1).

57131 is an equidigital number, since it uses as much as digits as its factorization.

57131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105, while the sum is 17.

The square root of 57131 is about 239.0209195865. The cubic root of 57131 is about 38.5144714249.

Subtracting from 57131 its reverse (13175), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 57131 in words is "fifty-seven thousand, one hundred thirty-one".