2004004 has 6 divisors (see below), whose sum is σ = 3507014. Its totient is φ = 1002000.

The previous prime is 2004001. The next prime is 2004007. The reversal of 2004004 is 4004002.

It is an interprime number because it is at equal distance from previous prime (2004001) and next prime (2004007).

It can be written as a sum of positive squares in only one way, i.e., 1004004 + 1000000 = 1002^2 + 1000^2 .

It is not an unprimeable number, because it can be changed into a prime (2004001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250497 + ... + 250504.

2^2004004 is an apocalyptic number.

It is an amenable number.

2004004 is a deficient number, since it is larger than the sum of its proper divisors (1503010).

2004004 is a wasteful number, since it uses less digits than its factorization.

2004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501005 (or 501003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2004004 is about 1415.6284823357. The cubic root of 2004004 is about 126.0761276747.

Adding to 2004004 its reverse (4004002), we get a palindrome (6008006).

The spelling of 2004004 in words is "two million, four thousand, four", and thus it is an eban number.