313172017 has 2 divisors, whose sum is σ = 313172018. Its totient is φ = 313172016.

The previous prime is 313171997. The next prime is 313172021. The reversal of 313172017 is 710271313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174662656 + 138509361 = 13216^2 + 11769^2 .

It is an emirp because it is prime and its reverse (710271313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313172017 - 2¹⁵ = 313139249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313171982 and 313172000.

It is not a weakly prime, because it can be changed into another prime (313172077) 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, 156586008 + 156586009.

It is an arithmetic number, because the mean of its divisors is an integer number (156586009).

Almost surely, 2^313172017 is an apocalyptic number.

It is an amenable number.

313172017 is a deficient number, since it is larger than the sum of its proper divisors (1).

313172017 is an equidigital number, since it uses as much as digits as its factorization.

313172017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 313172017 is about 17696.6668330508. Note that the first 3 decimals coincide. The cubic root of 313172017 is about 679.0904918209.

The spelling of 313172017 in words is "three hundred thirteen million, one hundred seventy-two thousand, seventeen".