2972952 has 48 divisors (see below), whose sum is σ = 8133840. Its totient is φ = 980928.

The previous prime is 2972947. The next prime is 2972969. The reversal of 2972952 is 2592792.

2972952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11173 + ... + 11435.

It is an arithmetic number, because the mean of its divisors is an integer number (169455).

2^2972952 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 2972952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066920).

2972952 is an abundant number, since it is smaller than the sum of its proper divisors (5160888).

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

2972952 is a wasteful number, since it uses less digits than its factorization.

2972952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2972952 is about 1724.2250433166. The cubic root of 2972952 is about 143.7902037517.

It can be divided in two parts, 297 and 2952, that added together give a square (3249 = 57²).

The spelling of 2972952 in words is "two million, nine hundred seventy-two thousand, nine hundred fifty-two".