13985172 has 18 divisors (see below), whose sum is σ = 35351498. Its totient is φ = 4661712.

The previous prime is 13985171. The next prime is 13985177. The reversal of 13985172 is 27158931.

13985172 is a `hidden beast` number, since 139 + 8 + 517 + 2 = 666.

13985172 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 only one way, i.e., 11532816 + 2452356 = 3396^2 + 1566^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 388477 = 13985172 / (1 + 3 + 9 + 8 + 5 + 1 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194203 + ... + 194274.

Almost surely, 2^13985172 is an apocalyptic number.

13985172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13985172 is an abundant number, since it is smaller than the sum of its proper divisors (21366326).

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

13985172 is a wasteful number, since it uses less digits than its factorization.

13985172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388487 (or 388482 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13985172 is about 3739.6753869821. The cubic root of 13985172 is about 240.9291068604.

The spelling of 13985172 in words is "thirteen million, nine hundred eighty-five thousand, one hundred seventy-two".