57537 has 8 divisors (see below), whose sum is σ = 85280. Its totient is φ = 38340.

The previous prime is 57529. The next prime is 57557. The reversal of 57537 is 73575.

It is not a de Polignac number, because 57537 - 2³ = 57529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2131 = 57537 / (5 + 7 + 5 + 3 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57537.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57537.

It is not an unprimeable number, because it can be changed into a prime (57527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (10660).

2⁵⁷⁵³⁷ is an apocalyptic number.

It is an amenable number.

57537 is a deficient number, since it is larger than the sum of its proper divisors (27743).

57537 is a wasteful number, since it uses less digits than its factorization.

57537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 57537 is about 239.8687140917. The cubic root of 57537 is about 38.6054901942.

The spelling of 57537 in words is "fifty-seven thousand, five hundred thirty-seven".