415116017 has 2 divisors, whose sum is σ = 415116018. Its totient is φ = 415116016.

The previous prime is 415115999. The next prime is 415116049. The reversal of 415116017 is 710611514.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409010176 + 6105841 = 20224^2 + 2471^2 .

It is a cyclic number.

It is not a de Polignac number, because 415116017 - 2¹⁶ = 415050481 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (415116067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207558008 + 207558009.

It is an arithmetic number, because the mean of its divisors is an integer number (207558009).

Almost surely, 2^415116017 is an apocalyptic number.

It is an amenable number.

415116017 is a deficient number, since it is larger than the sum of its proper divisors (1).

415116017 is an equidigital number, since it uses as much as digits as its factorization.

415116017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 415116017 is about 20374.3961137502. The cubic root of 415116017 is about 745.9730941428.

The spelling of 415116017 in words is "four hundred fifteen million, one hundred sixteen thousand, seventeen".