4008164 has 24 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 1815264.

The previous prime is 4008161. The next prime is 4008181. The reversal of 4008164 is 4618004.

It is a happy number.

4008164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (4008161) 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, 602 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (321160).

Almost surely, 2^4008164 is an apocalyptic number.

It is an amenable number.

4008164 is a deficient number, since it is larger than the sum of its proper divisors (3699676).

4008164 is a wasteful number, since it uses less digits than its factorization.

4008164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4008164 is about 2002.0399596412. The cubic root of 4008164 is about 158.8480279915.

The spelling of 4008164 in words is "four million, eight thousand, one hundred sixty-four".