8117000417 has 2 divisors, whose sum is σ = 8117000418. Its totient is φ = 8117000416.

The previous prime is 8117000399. The next prime is 8117000471. The reversal of 8117000417 is 7140007118.

Together with next prime (8117000471) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7042734241 + 1074266176 = 83921^2 + 32776^2 .

It is a cyclic number.

It is not a de Polignac number, because 8117000417 - 2²⁰ = 8115951841 is a prime.

It is a super-3 number, since 3×8117000417³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8117000417.

It is not a weakly prime, because it can be changed into another prime (8117000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4058500208 + 4058500209.

It is an arithmetic number, because the mean of its divisors is an integer number (4058500209).

Almost surely, 2^8117000417 is an apocalyptic number.

It is an amenable number.

8117000417 is a deficient number, since it is larger than the sum of its proper divisors (1).

8117000417 is an equidigital number, since it uses as much as digits as its factorization.

8117000417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

The square root of 8117000417 is about 90094.3972564332. The cubic root of 8117000417 is about 2009.7028856312.

The spelling of 8117000417 in words is "eight billion, one hundred seventeen million, four hundred seventeen", and thus it is an aban number.