2972964 has 24 divisors (see below), whose sum is σ = 7176960. Its totient is φ = 956704.

The previous prime is 2972947. The next prime is 2972969. The reversal of 2972964 is 4692792.

2972964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2972969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3924 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (299040).

2^2972964 is an apocalyptic number.

It is an amenable number.

2972964 is an abundant number, since it is smaller than the sum of its proper divisors (4203996).

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

2972964 is a wasteful number, since it uses less digits than its factorization.

2972964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8577 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2972964 is about 1724.2285231372. The cubic root of 2972964 is about 143.7903972160.

The spelling of 2972964 in words is "two million, nine hundred seventy-two thousand, nine hundred sixty-four".