9905717 has 2 divisors, whose sum is σ = 9905718. Its totient is φ = 9905716.

The previous prime is 9905711. The next prime is 9905719. The reversal of 9905717 is 7175099.

9905717 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., 8031556 + 1874161 = 2834^2 + 1369^2 .

It is a cyclic number.

It is not a de Polignac number, because 9905717 - 2⁶ = 9905653 is a prime.

Together with 9905719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9905711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4952858 + 4952859.

It is an arithmetic number, because the mean of its divisors is an integer number (4952859).

Almost surely, 2^9905717 is an apocalyptic number.

It is an amenable number.

9905717 is a deficient number, since it is larger than the sum of its proper divisors (1).

9905717 is an equidigital number, since it uses as much as digits as its factorization.

9905717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 9905717 is about 3147.3349043278. The cubic root of 9905717 is about 214.7642413024.

The spelling of 9905717 in words is "nine million, nine hundred five thousand, seven hundred seventeen".