13038164 has 24 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 6292160.

The previous prime is 13038149. The next prime is 13038169. The reversal of 13038164 is 46183031.

13038164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13038169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17177 + ... + 17919.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^13038164 is an apocalyptic number.

It is an amenable number.

13038164 is a deficient number, since it is larger than the sum of its proper divisors (10585324).

13038164 is a wasteful number, since it uses less digits than its factorization.

13038164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13038164 is about 3610.8397915166. The cubic root of 13038164 is about 235.3633371495.

The spelling of 13038164 in words is "thirteen million, thirty-eight thousand, one hundred sixty-four".