13626 has 12 divisors (see below), whose sum is σ = 29562. Its totient is φ = 4536.

The previous prime is 13619. The next prime is 13627. The reversal of 13626 is 62631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 2601 = 105^2 + 51^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 757 = 13626 / (1 + 3 + 6 + 2 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13599 and 13608.

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 5 ways as a sum of consecutive naturals, for example, 361 + ... + 396.

2¹³⁶²⁶ is an apocalyptic number.

13626 is an abundant number, since it is smaller than the sum of its proper divisors (15936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13626 is a wasteful number, since it uses less digits than its factorization.

13626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13626 is about 116.7304587501. The cubic root of 13626 is about 23.8848652158.

13626 divided by its sum of digits (18) gives a palindrome (757).

The spelling of 13626 in words is "thirteen thousand, six hundred twenty-six".