4957164 has 18 divisors (see below), whose sum is σ = 12530700. Its totient is φ = 1652376.

The previous prime is 4957159. The next prime is 4957177. The reversal of 4957164 is 4617594.

4957164 is a `hidden beast` number, since 495 + 7 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 137699 = 4957164 / (4 + 9 + 5 + 7 + 1 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68814 + ... + 68885.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^4957164 is an apocalyptic number.

It is an amenable number.

4957164 is an abundant number, since it is smaller than the sum of its proper divisors (7573536).

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

4957164 is a wasteful number, since it uses less digits than its factorization.

4957164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137709 (or 137704 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 4957164 is about 2226.4689532980. The cubic root of 4957164 is about 170.5078699394.

The spelling of 4957164 in words is "four million, nine hundred fifty-seven thousand, one hundred sixty-four".