4612164 has 24 divisors (see below), whose sum is σ = 10821888. Its totient is φ = 1528800.

The previous prime is 4612163. The next prime is 4612177.

4612164 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4612163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 3339.

It is an arithmetic number, because the mean of its divisors is an integer number (450912).

Almost surely, 2^4612164 is an apocalyptic number.

It is an amenable number.

4612164 is an abundant number, since it is smaller than the sum of its proper divisors (6209724).

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

4612164 is a wasteful number, since it uses less digits than its factorization.

4612164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4612164 is about 2147.5949338737. The cubic root of 4612164 is about 166.4568149957.

The spelling of 4612164 in words is "four million, six hundred twelve thousand, one hundred sixty-four".