12637 has 2 divisors, whose sum is σ = 12638. Its totient is φ = 12636.

The previous prime is 12619. The next prime is 12641. The reversal of 12637 is 73621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 4356 = 91^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 12637 - 2¹¹ = 10589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6318 + 6319.

It is an arithmetic number, because the mean of its divisors is an integer number (6319).

2¹²⁶³⁷ is an apocalyptic number.

It is an amenable number.

12637 is a deficient number, since it is larger than the sum of its proper divisors (1).

12637 is an equidigital number, since it uses as much as digits as its factorization.

12637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 12637 is about 112.4144118874. The cubic root of 12637 is about 23.2924226437.

The spelling of 12637 in words is "twelve thousand, six hundred thirty-seven".