57137 has 4 divisors (see below), whose sum is σ = 60516. Its totient is φ = 53760.

The previous prime is 57131. The next prime is 57139. The reversal of 57137 is 73175.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 43681 + 13456 = 209^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 57137 - 2⁶ = 57073 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57137.

It is not an unprimeable number, because it can be changed into a prime (57131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1664 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (15129).

2⁵⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

57137 is a deficient number, since it is larger than the sum of its proper divisors (3379).

57137 is a wasteful number, since it uses less digits than its factorization.

57137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378.

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

The square root of 57137 is about 239.0334704597. The cubic root of 57137 is about 38.5158196640.

The spelling of 57137 in words is "fifty-seven thousand, one hundred thirty-seven".