414117317 has 2 divisors, whose sum is σ = 414117318. Its totient is φ = 414117316.

The previous prime is 414117281. The next prime is 414117359. The reversal of 414117317 is 713711414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325116961 + 89000356 = 18031^2 + 9434^2 .

It is a cyclic number.

It is not a de Polignac number, because 414117317 - 2¹⁰ = 414116293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414117317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414117377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207058658 + 207058659.

It is an arithmetic number, because the mean of its divisors is an integer number (207058659).

Almost surely, 2^414117317 is an apocalyptic number.

It is an amenable number.

414117317 is a deficient number, since it is larger than the sum of its proper divisors (1).

414117317 is an equidigital number, since it uses as much as digits as its factorization.

414117317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 414117317 is about 20349.8726531642. The cubic root of 414117317 is about 745.3743847461.

The spelling of 414117317 in words is "four hundred fourteen million, one hundred seventeen thousand, three hundred seventeen".