4004007 has 8 divisors (see below), whose sum is σ = 6101376. Its totient is φ = 2287992.

The previous prime is 4003999. The next prime is 4004009. The reversal of 4004007 is 7004004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4004007 - 2³ = 4003999 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 95313 + ... + 95354.

It is an arithmetic number, because the mean of its divisors is an integer number (762672).

Almost surely, 2^4004007 is an apocalyptic number.

4004007 is a deficient number, since it is larger than the sum of its proper divisors (2097369).

4004007 is a wasteful number, since it uses less digits than its factorization.

4004007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190677.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4004007 is about 2001.0014992498. The cubic root of 4004007 is about 158.7930934739.

The spelling of 4004007 in words is "four million, four thousand, seven".