13003164 has 36 divisors (see below), whose sum is σ = 34804224. Its totient is φ = 4079232.

The previous prime is 13003129. The next prime is 13003171. The reversal of 13003164 is 46130031.

13003164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10012 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (966784).

Almost surely, 2^13003164 is an apocalyptic number.

It is an amenable number.

13003164 is an abundant number, since it is smaller than the sum of its proper divisors (21801060).

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

13003164 is a wasteful number, since it uses less digits than its factorization.

13003164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274 (or 21269 counting only the distinct ones).

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

The square root of 13003164 is about 3605.9900166251. The cubic root of 13003164 is about 235.1525431810.

Adding to 13003164 its reverse (46130031), we get a palindrome (59133195).

The spelling of 13003164 in words is "thirteen million, three thousand, one hundred sixty-four".