33806963 has 2 divisors, whose sum is σ = 33806964. Its totient is φ = 33806962.

The previous prime is 33806923. The next prime is 33806977. The reversal of 33806963 is 36960833.

33806963 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33806963 is a prime.

It is a super-2 number, since 2×33806963² = 2285821494566738, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (33806923) 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, 16903481 + 16903482.

It is an arithmetic number, because the mean of its divisors is an integer number (16903482).

Almost surely, 2^33806963 is an apocalyptic number.

33806963 is a deficient number, since it is larger than the sum of its proper divisors (1).

33806963 is an equidigital number, since it uses as much as digits as its factorization.

33806963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 33806963 is about 5814.3755468666. The cubic root of 33806963 is about 323.3469132592.

The spelling of 33806963 in words is "thirty-three million, eight hundred six thousand, nine hundred sixty-three".