13172964 has 72 divisors (see below), whose sum is σ = 36656928. Its totient is φ = 3669120.

The previous prime is 13172959. The next prime is 13172981. The reversal of 13172964 is 46927131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25024 + ... + 25544.

It is an arithmetic number, because the mean of its divisors is an integer number (509124).

Almost surely, 2^13172964 is an apocalyptic number.

13172964 is a gapful number since it is divisible by the number (14) 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 13172964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328464).

13172964 is an abundant number, since it is smaller than the sum of its proper divisors (23483964).

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

13172964 is a wasteful number, since it uses less digits than its factorization.

13172964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 13172964 is about 3629.4578107480. The cubic root of 13172964 is about 236.1716887222.

The spelling of 13172964 in words is "thirteen million, one hundred seventy-two thousand, nine hundred sixty-four".