4002004 has 24 divisors (see below), whose sum is σ = 7476840. Its totient is φ = 1867776.

The previous prime is 4002001. The next prime is 4002013.

4002004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3276100 + 725904 = 1810^2 + 852^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15444 + ... + 15700.

It is an arithmetic number, because the mean of its divisors is an integer number (311535).

Almost surely, 2^4002004 is an apocalyptic number.

It is an amenable number.

4002004 is a deficient number, since it is larger than the sum of its proper divisors (3474836).

4002004 is a wasteful number, since it uses less digits than its factorization.

4002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

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

The square root of 4002004 is about 2000.5009372655. The cubic root of 4002004 is about 158.7666103685.

The spelling of 4002004 in words is "four million, two thousand, four", and thus it is an eban number.