13528164 has 24 divisors (see below), whose sum is σ = 33994240. Its totient is φ = 4162464.

The previous prime is 13528159. The next prime is 13528211. The reversal of 13528164 is 46182531.

13528164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13528164² = 366022442421792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43204 + ... + 43515.

Almost surely, 2^13528164 is an apocalyptic number.

It is an amenable number.

13528164 is an abundant number, since it is smaller than the sum of its proper divisors (20466076).

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

13528164 is a wasteful number, since it uses less digits than its factorization.

13528164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86739 (or 86737 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 13528164 is about 3678.0652522760. The cubic root of 13528164 is about 238.2756263480.

The spelling of 13528164 in words is "thirteen million, five hundred twenty-eight thousand, one hundred sixty-four".