33808007 has 2 divisors, whose sum is σ = 33808008. Its totient is φ = 33808006.

The previous prime is 33807989. The next prime is 33808013. The reversal of 33808007 is 70080833.

33808007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (70080833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33808007 - 2¹² = 33803911 is a prime.

It is a super-2 number, since 2×33808007² = 2285962674624098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33808057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16904003 + 16904004.

It is an arithmetic number, because the mean of its divisors is an integer number (16904004).

Almost surely, 2^33808007 is an apocalyptic number.

33808007 is a deficient number, since it is larger than the sum of its proper divisors (1).

33808007 is an equidigital number, since it uses as much as digits as its factorization.

33808007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 33808007 is about 5814.4653236562. The cubic root of 33808007 is about 323.3502416731.

The spelling of 33808007 in words is "thirty-three million, eight hundred eight thousand, seven".