33808313 has 16 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 25699200.

The previous prime is 33808303. The next prime is 33808331. The reversal of 33808313 is 31380833.

It is a cyclic number.

It is not a de Polignac number, because 33808313 - 2⁸ = 33808057 is a prime.

It is a super-2 number, since 2×33808313² = 2286004055811938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33808303) 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, 2198 + ... + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^33808313 is an apocalyptic number.

It is an amenable number.

33808313 is a deficient number, since it is larger than the sum of its proper divisors (9374407).

33808313 is a wasteful number, since it uses less digits than its factorization.

33808313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 33808313 is about 5814.4916372801. The cubic root of 33808313 is about 323.3512172298.

The spelling of 33808313 in words is "thirty-three million, eight hundred eight thousand, three hundred thirteen".