417312146221 has 2 divisors, whose sum is σ = 417312146222. Its totient is φ = 417312146220.

The previous prime is 417312146183. The next prime is 417312146233. The reversal of 417312146221 is 122641213714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417303080100 + 9066121 = 645990^2 + 3011^2 .

It is a cyclic number.

It is not a de Polignac number, because 417312146221 - 2²³ = 417303757613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417312146291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208656073110 + 208656073111.

It is an arithmetic number, because the mean of its divisors is an integer number (208656073111).

Almost surely, 2^417312146221 is an apocalyptic number.

It is an amenable number.

417312146221 is a deficient number, since it is larger than the sum of its proper divisors (1).

417312146221 is an equidigital number, since it uses as much as digits as its factorization.

417312146221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 34.

Adding to 417312146221 its reverse (122641213714), we get a palindrome (539953359935).

The spelling of 417312146221 in words is "four hundred seventeen billion, three hundred twelve million, one hundred forty-six thousand, two hundred twenty-one".