13112964 has 54 divisors (see below), whose sum is σ = 35017710. Its totient is φ = 4136832.

The previous prime is 13112963. The next prime is 13112971. The reversal of 13112964 is 46921131.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 2924100 = 3192^2 + 1710^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13112963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12492 + ... + 13500.

Almost surely, 2^13112964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508855).

13112964 is an abundant number, since it is smaller than the sum of its proper divisors (21904746).

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

13112964 is a wasteful number, since it uses less digits than its factorization.

13112964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1033 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13112964 is about 3621.1826797332. The cubic root of 13112964 is about 235.8125726278.

The spelling of 13112964 in words is "thirteen million, one hundred twelve thousand, nine hundred sixty-four".