2008033 has 2 divisors, whose sum is σ = 2008034. Its totient is φ = 2008032.

The previous prime is 2008003. The next prime is 2008043. The reversal of 2008033 is 3308002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2007889 + 144 = 1417^2 + 12^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2008033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2007998 and 2008016.

It is not a weakly prime, because it can be changed into another prime (2008003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004016 + 1004017.

It is an arithmetic number, because the mean of its divisors is an integer number (1004017).

2^2008033 is an apocalyptic number.

It is an amenable number.

2008033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008033 is an equidigital number, since it uses as much as digits as its factorization.

2008033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2008033 is about 1417.0508106628. The cubic root of 2008033 is about 126.1605620843.

Subtracting from 2008033 its product of nonzero digits (144), we obtain a square (2007889 = 1417²).

The spelling of 2008033 in words is "two million, eight thousand, thirty-three".