688085933 has 2 divisors, whose sum is σ = 688085934. Its totient is φ = 688085932.

The previous prime is 688085899. The next prime is 688085953. The reversal of 688085933 is 339580886.

688085933 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 can be written as a sum of positive squares in only one way, i.e., 650607049 + 37478884 = 25507^2 + 6122^2 .

It is a cyclic number.

It is not a de Polignac number, because 688085933 - 2⁶ = 688085869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688085953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344042966 + 344042967.

It is an arithmetic number, because the mean of its divisors is an integer number (344042967).

Almost surely, 2^688085933 is an apocalyptic number.

It is an amenable number.

688085933 is a deficient number, since it is larger than the sum of its proper divisors (1).

688085933 is an equidigital number, since it uses as much as digits as its factorization.

688085933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 688085933 is about 26231.3921285165. The cubic root of 688085933 is about 882.8377456761.

The spelling of 688085933 in words is "six hundred eighty-eight million, eighty-five thousand, nine hundred thirty-three".