4972964 has 24 divisors (see below), whose sum is σ = 8983800. Its totient is φ = 2407680.

The previous prime is 4972951. The next prime is 4972969. The reversal of 4972964 is 4692794.

It can be written as a sum of positive squares in 4 ways, for example, as 168100 + 4804864 = 410^2 + 2192^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4972969) 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, 21602 + ... + 21830.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 2^4972964 is an apocalyptic number.

It is an amenable number.

4972964 is a deficient number, since it is larger than the sum of its proper divisors (4010836).

4972964 is a wasteful number, since it uses less digits than its factorization.

4972964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 4972964 is about 2230.0143497296. The cubic root of 4972964 is about 170.6888314176.

It can be divided in two parts, 49729 and 64, that multiplied together give a square (3182656 = 1784²).

The spelling of 4972964 in words is "four million, nine hundred seventy-two thousand, nine hundred sixty-four".