2004033 has 16 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 1280640.

The previous prime is 2004029. The next prime is 2004043. The reversal of 2004033 is 3304002.

It is not a de Polignac number, because 2004033 - 2² = 2004029 is a prime.

It is a super-2 number, since 2×2004033² = 8032296530178, which contains 22 as substring.

2004033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2004043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8485 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

2^2004033 is an apocalyptic number.

It is an amenable number.

2004033 is a deficient number, since it is larger than the sum of its proper divisors (781503).

2004033 is a wasteful number, since it uses less digits than its factorization.

2004033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2004033 is about 1415.6387250990. The cubic root of 2004033 is about 126.0767358222.

Adding to 2004033 its reverse (3304002), we get a palindrome (5308035).

The spelling of 2004033 in words is "two million, four thousand, thirty-three".