417220561 has 2 divisors, whose sum is σ = 417220562. Its totient is φ = 417220560.

The previous prime is 417220543. The next prime is 417220577. The reversal of 417220561 is 165022714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269452225 + 147768336 = 16415^2 + 12156^2 .

It is a cyclic number.

It is not a de Polignac number, because 417220561 - 2²³ = 408831953 is a prime.

It is not a weakly prime, because it can be changed into another prime (417223561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208610280 + 208610281.

It is an arithmetic number, because the mean of its divisors is an integer number (208610281).

Almost surely, 2^417220561 is an apocalyptic number.

It is an amenable number.

417220561 is a deficient number, since it is larger than the sum of its proper divisors (1).

417220561 is an equidigital number, since it uses as much as digits as its factorization.

417220561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 417220561 is about 20425.9776020635. The cubic root of 417220561 is about 747.2316078387.

The spelling of 417220561 in words is "four hundred seventeen million, two hundred twenty thousand, five hundred sixty-one".