13585172 has 12 divisors (see below), whose sum is σ = 24222996. Its totient is φ = 6664320.

The previous prime is 13585153. The next prime is 13585177. The reversal of 13585172 is 27158531.

13585172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7214596 + 6370576 = 2686^2 + 2524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585177) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31829 + ... + 32252.

It is an arithmetic number, because the mean of its divisors is an integer number (2018583).

Almost surely, 2^13585172 is an apocalyptic number.

It is an amenable number.

13585172 is a deficient number, since it is larger than the sum of its proper divisors (10637824).

13585172 is a wasteful number, since it uses less digits than its factorization.

13585172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64138 (or 64136 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 13585172 is about 3685.8068316177. The cubic root of 13585172 is about 238.6098569918.

The spelling of 13585172 in words is "thirteen million, five hundred eighty-five thousand, one hundred seventy-two".