8002314017 has 2 divisors, whose sum is σ = 8002314018. Its totient is φ = 8002314016.

The previous prime is 8002314011. The next prime is 8002314059. The reversal of 8002314017 is 7104132008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6262506496 + 1739807521 = 79136^2 + 41711^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002314017 - 2²² = 7998119713 is a prime.

It is a super-3 number, since 3×8002314017³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (8002314011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4001157008 + 4001157009.

It is an arithmetic number, because the mean of its divisors is an integer number (4001157009).

Almost surely, 2^8002314017 is an apocalyptic number.

It is an amenable number.

8002314017 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002314017 is an equidigital number, since it uses as much as digits as its factorization.

8002314017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 8002314017 is about 89455.6539129864. The cubic root of 8002314017 is about 2000.1928161604.

The spelling of 8002314017 in words is "eight billion, two million, three hundred fourteen thousand, seventeen".