12632 has 8 divisors (see below), whose sum is σ = 23700. Its totient is φ = 6312.

The previous prime is 12619. The next prime is 12637. The reversal of 12632 is 23621.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

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 12632.

It is not an unprimeable number, because it can be changed into a prime (12637) by changing a digit.

12632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782 + ... + 797.

2¹²⁶³² is an apocalyptic number.

It is an amenable number.

12632 is a deficient number, since it is larger than the sum of its proper divisors (11068).

12632 is a wasteful number, since it uses less digits than its factorization.

12632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 12632 is about 112.3921705458. The cubic root of 12632 is about 23.2893502510.

The spelling of 12632 in words is "twelve thousand, six hundred thirty-two".