2013972 has 24 divisors (see below), whose sum is σ = 4904256. Its totient is φ = 642048.

The previous prime is 2013967. The next prime is 2013983. The reversal of 2013972 is 2793102.

2013972 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3373 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (204344).

2^2013972 is an apocalyptic number.

It is an amenable number.

2013972 is an abundant number, since it is smaller than the sum of its proper divisors (2890284).

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

2013972 is a wasteful number, since it uses less digits than its factorization.

2013972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2013972 is about 1419.1448129067. The cubic root of 2013972 is about 126.2848180281.

The spelling of 2013972 in words is "two million, thirteen thousand, nine hundred seventy-two".