2972164 has 24 divisors (see below), whose sum is σ = 5699288. Its totient is φ = 1347840.

The previous prime is 2972159. The next prime is 2972171. The reversal of 2972164 is 4612792.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 2560000 = 642^2 + 1600^2 .

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, 2704 + ... + 3640.

2^2972164 is an apocalyptic number.

It is an amenable number.

2972164 is a deficient number, since it is larger than the sum of its proper divisors (2727124).

2972164 is a wasteful number, since it uses less digits than its factorization.

2972164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1013 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 2972164 is about 1723.9965197181. The cubic root of 2972164 is about 143.7774984571. Note that the first 3 decimals are identical.

It can be divided in two parts, 2972 and 164, that added together give a square (3136 = 56²).

The spelling of 2972164 in words is "two million, nine hundred seventy-two thousand, one hundred sixty-four".