317648321 has 2 divisors, whose sum is σ = 317648322. Its totient is φ = 317648320.

The previous prime is 317648299. The next prime is 317648323. The reversal of 317648321 is 123846713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299670721 + 17977600 = 17311^2 + 4240^2 .

It is an emirp because it is prime and its reverse (123846713) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-317648321 is a prime.

Together with 317648323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (317648323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158824160 + 158824161.

It is an arithmetic number, because the mean of its divisors is an integer number (158824161).

Almost surely, 2^317648321 is an apocalyptic number.

It is an amenable number.

317648321 is a deficient number, since it is larger than the sum of its proper divisors (1).

317648321 is an equidigital number, since it uses as much as digits as its factorization.

317648321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 317648321 is about 17822.6911828713. The cubic root of 317648321 is about 682.3107095801.

The spelling of 317648321 in words is "three hundred seventeen million, six hundred forty-eight thousand, three hundred twenty-one".