13629164 has 12 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 6784368.

The previous prime is 13629163. The next prime is 13629167. The reversal of 13629164 is 46192631.

It is a super-2 number, since 2×13629164² = 371508222677792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13629164.

It is not an unprimeable number, because it can be changed into a prime (13629163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6524 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (1996400).

Almost surely, 2^13629164 is an apocalyptic number.

It is an amenable number.

13629164 is a deficient number, since it is larger than the sum of its proper divisors (10327636).

13629164 is a wasteful number, since it uses less digits than its factorization.

13629164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15110 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 13629164 is about 3691.7697653023. The cubic root of 13629164 is about 238.8671378630.

The spelling of 13629164 in words is "thirteen million, six hundred twenty-nine thousand, one hundred sixty-four".