2964164 has 12 divisors (see below), whose sum is σ = 5928384. Its totient is φ = 1270344.

The previous prime is 2964163. The next prime is 2964191. The reversal of 2964164 is 4614692.

2964164 = 202² + 203² + ... + 257².

It is a happy number.

2964164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2964164 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2964164.

It is not an unprimeable number, because it can be changed into a prime (2964161) 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 3 ways as a sum of consecutive naturals, for example, 52904 + ... + 52959.

It is an arithmetic number, because the mean of its divisors is an integer number (494032).

2^2964164 is an apocalyptic number.

It is an amenable number.

2964164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2964164 is a wasteful number, since it uses less digits than its factorization.

2964164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105874 (or 105872 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 2964164 is about 1721.6747660345. The cubic root of 2964164 is about 143.6483833828.

The spelling of 2964164 in words is "two million, nine hundred sixty-four thousand, one hundred sixty-four".