317638417 has 2 divisors, whose sum is σ = 317638418. Its totient is φ = 317638416.

The previous prime is 317638327. The next prime is 317638423. The reversal of 317638417 is 714836713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203661441 + 113976976 = 14271^2 + 10676^2 .

It is an emirp because it is prime and its reverse (714836713) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 317638417 - 2⁷ = 317638289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 317638417.

It is not a weakly prime, because it can be changed into another prime (317638457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158819208 + 158819209.

It is an arithmetic number, because the mean of its divisors is an integer number (158819209).

Almost surely, 2^317638417 is an apocalyptic number.

It is an amenable number.

317638417 is a deficient number, since it is larger than the sum of its proper divisors (1).

317638417 is an equidigital number, since it uses as much as digits as its factorization.

317638417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 40.

The square root of 317638417 is about 17822.4133326550. The cubic root of 317638417 is about 682.3036182204.

The spelling of 317638417 in words is "three hundred seventeen million, six hundred thirty-eight thousand, four hundred seventeen".