13008972 has 48 divisors (see below), whose sum is σ = 31483872. Its totient is φ = 4177920.

The previous prime is 13008971. The next prime is 13008973. The reversal of 13008972 is 27980031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13008971) and next prime (13008973).

It is not an unprimeable number, because it can be changed into a prime (13008971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67308 + ... + 67500.

It is an arithmetic number, because the mean of its divisors is an integer number (655914).

Almost surely, 2^13008972 is an apocalyptic number.

13008972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13008972 is an abundant number, since it is smaller than the sum of its proper divisors (18474900).

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

13008972 is a wasteful number, since it uses less digits than its factorization.

13008972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13008972 is about 3606.7952534071. The cubic root of 13008972 is about 235.1875490887.

The spelling of 13008972 in words is "thirteen million, eight thousand, nine hundred seventy-two".