4004133 has 12 divisors (see below), whose sum is σ = 6210720. Its totient is φ = 2287992.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004133 is 3314004.

4004133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004133 - 2⁶ = 4004069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13473 + ... + 13766.

It is an arithmetic number, because the mean of its divisors is an integer number (517560).

Almost surely, 2^4004133 is an apocalyptic number.

It is an amenable number.

4004133 is a deficient number, since it is larger than the sum of its proper divisors (2206587).

4004133 is a wasteful number, since it uses less digits than its factorization.

4004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27256 (or 27249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4004133 is about 2001.0329832364. The cubic root of 4004133 is about 158.7947591153.

Adding to 4004133 its reverse (3314004), we get a palindrome (7318137).

The spelling of 4004133 in words is "four million, four thousand, one hundred thirty-three".