314759172017 has 2 divisors, whose sum is σ = 314759172018. Its totient is φ = 314759172016.

The previous prime is 314759171989. The next prime is 314759172031. The reversal of 314759172017 is 710271957413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308512482721 + 6246689296 = 555439^2 + 79036^2 .

It is a cyclic number.

It is not a de Polignac number, because 314759172017 - 2⁸ = 314759171761 is a prime.

It is a super-3 number, since 3×314759172017³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (314759178017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157379586008 + 157379586009.

It is an arithmetic number, because the mean of its divisors is an integer number (157379586009).

Almost surely, 2^314759172017 is an apocalyptic number.

It is an amenable number.

314759172017 is a deficient number, since it is larger than the sum of its proper divisors (1).

314759172017 is an equidigital number, since it uses as much as digits as its factorization.

314759172017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 370440, while the sum is 47.

The spelling of 314759172017 in words is "three hundred fourteen billion, seven hundred fifty-nine million, one hundred seventy-two thousand, seventeen".