4004011 has 6 divisors (see below), whose sum is σ = 4401236. Its totient is φ = 3639900.

The previous prime is 4004009. The next prime is 4004023. The reversal of 4004011 is 1104004.

It is not a de Polignac number, because 4004011 - 2¹ = 4004009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16425 + ... + 16666.

Almost surely, 2^4004011 is an apocalyptic number.

4004011 is a deficient number, since it is larger than the sum of its proper divisors (397225).

4004011 is a wasteful number, since it uses less digits than its factorization.

4004011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33113 (or 33102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4004011 is about 2001.0024987491. The cubic root of 4004011 is about 158.7931463519.

Subtracting from 4004011 its sum of digits (10), we obtain a square (4004001 = 2001²).

Adding to 4004011 its reverse (1104004), we get a palindrome (5108015).

The spelling of 4004011 in words is "four million, four thousand, eleven".