12635 has 12 divisors (see below), whose sum is σ = 18288. Its totient is φ = 8208.

The previous prime is 12619. The next prime is 12637. The reversal of 12635 is 53621.

It is not a de Polignac number, because 12635 - 2⁴ = 12619 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (12637) 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, 656 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2¹²⁶³⁵ is an apocalyptic number.

12635 is a deficient number, since it is larger than the sum of its proper divisors (5653).

12635 is an equidigital number, since it uses as much as digits as its factorization.

12635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 12635 is about 112.4055158789. The cubic root of 12635 is about 23.2911937839.

It can be divided in two parts, 126 and 35, that added together give a palindrome (161).

The spelling of 12635 in words is "twelve thousand, six hundred thirty-five".