688109117 has 2 divisors, whose sum is σ = 688109118. Its totient is φ = 688109116.

The previous prime is 688109099. The next prime is 688109141. The reversal of 688109117 is 711901886.

688109117 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., 658743556 + 29365561 = 25666^2 + 5419^2 .

It is a cyclic number.

It is not a de Polignac number, because 688109117 - 2²⁰ = 687060541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688109167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344054558 + 344054559.

It is an arithmetic number, because the mean of its divisors is an integer number (344054559).

Almost surely, 2^688109117 is an apocalyptic number.

It is an amenable number.

688109117 is a deficient number, since it is larger than the sum of its proper divisors (1).

688109117 is an equidigital number, since it uses as much as digits as its factorization.

688109117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 41.

The square root of 688109117 is about 26231.8340380538. The cubic root of 688109117 is about 882.8476608526.

The spelling of 688109117 in words is "six hundred eighty-eight million, one hundred nine thousand, one hundred seventeen".