688828901 has 2 divisors, whose sum is σ = 688828902. Its totient is φ = 688828900.

The previous prime is 688828883. The next prime is 688828927. The reversal of 688828901 is 109828886.

688828901 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., 579124225 + 109704676 = 24065^2 + 10474^2 .

It is a cyclic number.

It is not a de Polignac number, because 688828901 - 2⁶ = 688828837 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 688828901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688828951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344414450 + 344414451.

It is an arithmetic number, because the mean of its divisors is an integer number (344414451).

Almost surely, 2^688828901 is an apocalyptic number.

It is an amenable number.

688828901 is a deficient number, since it is larger than the sum of its proper divisors (1).

688828901 is an equidigital number, since it uses as much as digits as its factorization.

688828901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 50.

The square root of 688828901 is about 26245.5501180676. The cubic root of 688828901 is about 883.1553824835.

The spelling of 688828901 in words is "six hundred eighty-eight million, eight hundred twenty-eight thousand, nine hundred one".