4004004 has 12 divisors (see below), whose sum is σ = 9342704. Its totient is φ = 1334664.

The previous prime is 4003999. The next prime is 4004009.

4004004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4003999) and next prime (4004009).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 333667 = 4004004 / (4 + 0 + 0 + 4 + 0 + 0 + 4).

4004004 is a modest number, since divided by 4004 gives 4 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4004009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166822 + ... + 166845.

Almost surely, 2^4004004 is an apocalyptic number.

It is an amenable number.

4004004 is an abundant number, since it is smaller than the sum of its proper divisors (5338700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004004 is a wasteful number, since it uses less digits than its factorization.

4004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333674 (or 333672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004004 is about 2001.0007496250. Note that the first 3 decimals coincide. The cubic root of 4004004 is about 158.7930538153.

The spelling of 4004004 in words is "four million, four thousand, four", and thus it is an eban number.