4005004 has 12 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 1996208.

The previous prime is 4004989. The next prime is 4005019.

4005004 is nontrivially palindromic in base 10.

4005004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4004989) and next prime (4005019).

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 3 ways as a sum of consecutive naturals, for example, 42 + ... + 2830.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^4005004 is an apocalyptic number.

It is an amenable number.

4005004 is a deficient number, since it is larger than the sum of its proper divisors (3025796).

4005004 is a wasteful number, since it uses less digits than its factorization.

4005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4005004 is about 2001.2506089943. The cubic root of 4005004 is about 158.8062722367.

The spelling of 4005004 in words is "four million, five thousand, four".