414113017 has 2 divisors, whose sum is σ = 414113018. Its totient is φ = 414113016.

The previous prime is 414112949. The next prime is 414113027. The reversal of 414113017 is 710311414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226532601 + 187580416 = 15051^2 + 13696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414113017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414113027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207056508 + 207056509.

It is an arithmetic number, because the mean of its divisors is an integer number (207056509).

Almost surely, 2^414113017 is an apocalyptic number.

It is an amenable number.

414113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

414113017 is an equidigital number, since it uses as much as digits as its factorization.

414113017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 414113017 is about 20349.7670011231. The cubic root of 414113017 is about 745.3718048645.

The spelling of 414113017 in words is "four hundred fourteen million, one hundred thirteen thousand, seventeen".