12537 has 12 divisors (see below), whose sum is σ = 20800. Its totient is φ = 7128.

The previous prime is 12527. The next prime is 12539. The reversal of 12537 is 73521.

12537 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12537 - 2⁶ = 12473 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

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 12537.

It is not an unprimeable number, because it can be changed into a prime (12539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 162.

2¹²⁵³⁷ is an apocalyptic number.

It is an amenable number.

12537 is a deficient number, since it is larger than the sum of its proper divisors (8263).

12537 is a wasteful number, since it uses less digits than its factorization.

12537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 12537 is about 111.9687456391. The cubic root of 12537 is about 23.2308201169.

The spelling of 12537 in words is "twelve thousand, five hundred thirty-seven".