2952972 has 36 divisors (see below), whose sum is σ = 8144136. Its totient is φ = 894720.

The previous prime is 2952959. The next prime is 2952977. The reversal of 2952972 is 2792592.

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

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

It is not an unprimeable number, because it can be changed into a prime (2952977) 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, 3333 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (226226).

2^2952972 is an apocalyptic number.

2952972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2952972 is an abundant number, since it is smaller than the sum of its proper divisors (5191164).

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

2952972 is a wasteful number, since it uses less digits than its factorization.

2952972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7473 counting only the distinct ones).

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

The square root of 2952972 is about 1718.4213685822. The cubic root of 2952972 is about 143.4673609638.

The spelling of 2952972 in words is "two million, nine hundred fifty-two thousand, nine hundred seventy-two".