13975164 has 36 divisors (see below), whose sum is σ = 40373424. Its totient is φ = 3992832.

The previous prime is 13975133. The next prime is 13975243. The reversal of 13975164 is 46157931.

13975164 is a `hidden beast` number, since 139 + 7 + 516 + 4 = 666.

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 (36).

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, 27477 + ... + 27980.

It is an arithmetic number, because the mean of its divisors is an integer number (1121484).

Almost surely, 2^13975164 is an apocalyptic number.

13975164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13975164 is an abundant number, since it is smaller than the sum of its proper divisors (26398260).

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

13975164 is a wasteful number, since it uses less digits than its factorization.

13975164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55474 (or 55469 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13975164 is about 3738.3370634548. The cubic root of 13975164 is about 240.8716223118.

It can be divided in two parts, 1397 and 5164, that added together give a 8-th power (6561 = 3⁸).

The spelling of 13975164 in words is "thirteen million, nine hundred seventy-five thousand, one hundred sixty-four".