617121317 has 2 divisors, whose sum is σ = 617121318. Its totient is φ = 617121316.

The previous prime is 617121289. The next prime is 617121319. The reversal of 617121317 is 713121716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449185636 + 167935681 = 21194^2 + 12959^2 .

It is a cyclic number.

It is not a de Polignac number, because 617121317 - 2²⁶ = 550012453 is a prime.

Together with 617121319, 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 617121317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (617121319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308560658 + 308560659.

It is an arithmetic number, because the mean of its divisors is an integer number (308560659).

Almost surely, 2^617121317 is an apocalyptic number.

It is an amenable number.

617121317 is a deficient number, since it is larger than the sum of its proper divisors (1).

617121317 is an equidigital number, since it uses as much as digits as its factorization.

617121317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 29.

The square root of 617121317 is about 24841.9265959788. The cubic root of 617121317 is about 851.3801417088.

The spelling of 617121317 in words is "six hundred seventeen million, one hundred twenty-one thousand, three hundred seventeen".