2004165 has 12 divisors (see below), whose sum is σ = 3473964. Its totient is φ = 1068864.

The previous prime is 2004137. The next prime is 2004209. The reversal of 2004165 is 5614002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 431649 = 1254^2 + 657^2 .

It is not a de Polignac number, because 2004165 - 2⁵ = 2004133 is a prime.

2004165 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22224 + ... + 22313.

It is an arithmetic number, because the mean of its divisors is an integer number (289497).

2^2004165 is an apocalyptic number.

It is an amenable number.

2004165 is a deficient number, since it is larger than the sum of its proper divisors (1469799).

2004165 is a wasteful number, since it uses less digits than its factorization.

2004165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44548 (or 44545 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2004165 is about 1415.6853463959. The cubic root of 2004165 is about 126.0795038677.

Adding to 2004165 its reverse (5614002), we get a palindrome (7618167).

The spelling of 2004165 in words is "two million, four thousand, one hundred sixty-five".