13627 has 2 divisors, whose sum is σ = 13628. Its totient is φ = 13626.

The previous prime is 13619. The next prime is 13633. The reversal of 13627 is 72631.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13627 - 2³ = 13619 is a prime.

It is not a weakly prime, because it can be changed into another prime (13687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6813 + 6814.

It is an arithmetic number, because the mean of its divisors is an integer number (6814).

2¹³⁶²⁷ is an apocalyptic number.

13627 is a deficient number, since it is larger than the sum of its proper divisors (1).

13627 is an equidigital number, since it uses as much as digits as its factorization.

13627 is an odious number, because the sum of its binary digits is odd.

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

The square root of 13627 is about 116.7347420437. The cubic root of 13627 is about 23.8854494978.

It can be divided in two parts, 1362 and 7, that added together give a square (1369 = 37²).

The spelling of 13627 in words is "thirteen thousand, six hundred twenty-seven".