13164732 has 108 divisors (see below), whose sum is σ = 41081040. Its totient is φ = 3532032.

The previous prime is 13164727. The next prime is 13164737. The reversal of 13164732 is 23746131.

13164732 is a `hidden beast` number, since 13 + 1 + 647 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13164727) and next prime (13164737).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13164696 and 13164705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13164737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29769 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 2^13164732 is an apocalyptic number.

13164732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13164732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540520).

13164732 is an abundant number, since it is smaller than the sum of its proper divisors (27916308).

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

13164732 is a wasteful number, since it uses less digits than its factorization.

13164732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13164732 is about 3628.3235798368. The cubic root of 13164732 is about 236.1224826244.

The spelling of 13164732 in words is "thirteen million, one hundred sixty-four thousand, seven hundred thirty-two".