2004133 has 2 divisors, whose sum is σ = 2004134. Its totient is φ = 2004132.

The previous prime is 2004131. The next prime is 2004137. The reversal of 2004133 is 3314002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 49729 = 1398^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004133 - 2¹ = 2004131 is a prime.

Together with 2004131, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004131) 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 as a sum of consecutive naturals, namely, 1002066 + 1002067.

It is an arithmetic number, because the mean of its divisors is an integer number (1002067).

2^2004133 is an apocalyptic number.

It is an amenable number.

2004133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004133 is an equidigital number, since it uses as much as digits as its factorization.

2004133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2004133 is about 1415.6740444043. The cubic root of 2004133 is about 126.0788328375.

Adding to 2004133 its reverse (3314002), we get a palindrome (5318135).

The spelling of 2004133 in words is "two million, four thousand, one hundred thirty-three".