417680617 has 2 divisors, whose sum is σ = 417680618. Its totient is φ = 417680616.

The previous prime is 417680611. The next prime is 417680623. The reversal of 417680617 is 716086714.

It is a balanced prime because it is at equal distance from previous prime (417680611) and next prime (417680623).

It can be written as a sum of positive squares in only one way, i.e., 379041961 + 38638656 = 19469^2 + 6216^2 .

It is a cyclic number.

It is not a de Polignac number, because 417680617 - 2³ = 417680609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 417680617.

It is not a weakly prime, because it can be changed into another prime (417680611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208840308 + 208840309.

It is an arithmetic number, because the mean of its divisors is an integer number (208840309).

Almost surely, 2^417680617 is an apocalyptic number.

It is an amenable number.

417680617 is a deficient number, since it is larger than the sum of its proper divisors (1).

417680617 is an equidigital number, since it uses as much as digits as its factorization.

417680617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 417680617 is about 20437.2360411089. The cubic root of 417680617 is about 747.5061565546.

The spelling of 417680617 in words is "four hundred seventeen million, six hundred eighty thousand, six hundred seventeen".