4004067 has 8 divisors (see below), whose sum is σ = 5374720. Its totient is φ = 2651400.

The previous prime is 4004057. The next prime is 4004069. The reversal of 4004067 is 7604004.

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

It is not a de Polignac number, because 4004067 - 2⁷ = 4003939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004069) 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, 3967 + ... + 4872.

It is an arithmetic number, because the mean of its divisors is an integer number (671840).

Almost surely, 2^4004067 is an apocalyptic number.

4004067 is a deficient number, since it is larger than the sum of its proper divisors (1370653).

4004067 is a wasteful number, since it uses less digits than its factorization.

4004067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4004067 is about 2001.0164916862. The cubic root of 4004067 is about 158.7938866408.

The spelling of 4004067 in words is "four million, four thousand, sixty-seven".