13380972 has 96 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3717120.

The previous prime is 13380967. The next prime is 13381001. The reversal of 13380972 is 27908331.

13380972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150304 + ... + 150392.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^13380972 is an apocalyptic number.

13380972 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 13380972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

13380972 is an abundant number, since it is smaller than the sum of its proper divisors (23632788).

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

13380972 is a wasteful number, since it uses less digits than its factorization.

13380972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

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

The square root of 13380972 is about 3658.0010934935. The cubic root of 13380972 is about 237.4082940493.

The spelling of 13380972 in words is "thirteen million, three hundred eighty thousand, nine hundred seventy-two".