13629 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 6960.

The previous prime is 13627. The next prime is 13633. The reversal of 13629 is 92631.

It is not a de Polignac number, because 13629 - 2¹ = 13627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹³⁶²⁹ is an apocalyptic number.

It is an amenable number.

13629 is a deficient number, since it is larger than the sum of its proper divisors (9411).

13629 is a wasteful number, since it uses less digits than its factorization.

13629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80.

The product of its digits is 324, while the sum is 21.

The square root of 13629 is about 116.7433081594. The cubic root of 13629 is about 23.8866179761.

The spelling of 13629 in words is "thirteen thousand, six hundred twenty-nine".