2004164 has 12 divisors (see below), whose sum is σ = 3713724. Its totient is φ = 943104.

The previous prime is 2004137. The next prime is 2004209. The reversal of 2004164 is 4614002.

It can be written as a sum of positive squares in 2 ways, for example, as 1020100 + 984064 = 1010^2 + 992^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14669 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (309477).

2^2004164 is an apocalyptic number.

It is an amenable number.

2004164 is a deficient number, since it is larger than the sum of its proper divisors (1709560).

2004164 is a wasteful number, since it uses less digits than its factorization.

2004164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29494 (or 29492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2004164 is about 1415.6849932100. The cubic root of 2004164 is about 126.0794828981.

Adding to 2004164 its reverse (4614002), we get a palindrome (6618166).

The spelling of 2004164 in words is "two million, four thousand, one hundred sixty-four".