2115972 has 36 divisors (see below), whose sum is σ = 5454540. Its totient is φ = 691392.

The previous prime is 2115961. The next prime is 2115979. The reversal of 2115972 is 2795112.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 1498176 = 786^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2115979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

2^2115972 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 2115972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727270).

2115972 is an abundant number, since it is smaller than the sum of its proper divisors (3338568).

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

2115972 is a wasteful number, since it uses less digits than its factorization.

2115972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2115972 is about 1454.6380993223. The cubic root of 2115972 is about 128.3817541838.

The spelling of 2115972 in words is "two million, one hundred fifteen thousand, nine hundred seventy-two".