33814933 has 2 divisors, whose sum is σ = 33814934. Its totient is φ = 33814932.

The previous prime is 33814931. The next prime is 33814939. The reversal of 33814933 is 33941833.

33814933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18464209 + 15350724 = 4297^2 + 3918^2 .

It is a cyclic number.

It is not a de Polignac number, because 33814933 - 2¹ = 33814931 is a prime.

It is a super-2 number, since 2×33814933² = 2286899387588978, which contains 22 as substring.

Together with 33814931, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33814931) 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, 16907466 + 16907467.

It is an arithmetic number, because the mean of its divisors is an integer number (16907467).

Almost surely, 2^33814933 is an apocalyptic number.

It is an amenable number.

33814933 is a deficient number, since it is larger than the sum of its proper divisors (1).

33814933 is an equidigital number, since it uses as much as digits as its factorization.

33814933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The square root of 33814933 is about 5815.0608767235. The cubic root of 33814933 is about 323.3723209679.

The spelling of 33814933 in words is "thirty-three million, eight hundred fourteen thousand, nine hundred thirty-three".