313020017 has 2 divisors, whose sum is σ = 313020018. Its totient is φ = 313020016.

The previous prime is 313020011. The next prime is 313020023. The reversal of 313020017 is 710020313.

It is a balanced prime because it is at equal distance from previous prime (313020011) and next prime (313020023).

It can be written as a sum of positive squares in only one way, i.e., 186704896 + 126315121 = 13664^2 + 11239^2 .

It is a cyclic number.

It is not a de Polignac number, because 313020017 - 2¹² = 313015921 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313019977 and 313020004.

It is not a weakly prime, because it can be changed into another prime (313020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156510008 + 156510009.

It is an arithmetic number, because the mean of its divisors is an integer number (156510009).

Almost surely, 2^313020017 is an apocalyptic number.

It is an amenable number.

313020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

313020017 is an equidigital number, since it uses as much as digits as its factorization.

313020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 313020017 is about 17692.3717177771. The cubic root of 313020017 is about 678.9806071000.

The spelling of 313020017 in words is "three hundred thirteen million, twenty thousand, seventeen".