417563221 has 2 divisors, whose sum is σ = 417563222. Its totient is φ = 417563220.

The previous prime is 417563219. The next prime is 417563243. The reversal of 417563221 is 122365714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414570321 + 2992900 = 20361^2 + 1730^2 .

It is a cyclic number.

It is not a de Polignac number, because 417563221 - 2¹ = 417563219 is a prime.

Together with 417563219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417563281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208781610 + 208781611.

It is an arithmetic number, because the mean of its divisors is an integer number (208781611).

Almost surely, 2^417563221 is an apocalyptic number.

It is an amenable number.

417563221 is a deficient number, since it is larger than the sum of its proper divisors (1).

417563221 is an equidigital number, since it uses as much as digits as its factorization.

417563221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 417563221 is about 20434.3637287781. The cubic root of 417563221 is about 747.4361170299.

The spelling of 417563221 in words is "four hundred seventeen million, five hundred sixty-three thousand, two hundred twenty-one".