13505717 has 2 divisors, whose sum is σ = 13505718. Its totient is φ = 13505716.

The previous prime is 13505671. The next prime is 13505719. The reversal of 13505717 is 71750531.

13505717 is digitally balanced in base 2 and base 3, because in such bases 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., 7150276 + 6355441 = 2674^2 + 2521^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505717 - 2¹⁶ = 13440181 is a prime.

Together with 13505719, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13505717.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13505719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752858 + 6752859.

It is an arithmetic number, because the mean of its divisors is an integer number (6752859).

Almost surely, 2^13505717 is an apocalyptic number.

It is an amenable number.

13505717 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505717 is an equidigital number, since it uses as much as digits as its factorization.

13505717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 13505717 is about 3675.0125169855. The cubic root of 13505717 is about 238.1437647992.

The spelling of 13505717 in words is "thirteen million, five hundred five thousand, seven hundred seventeen".