417116173 has 2 divisors, whose sum is σ = 417116174. Its totient is φ = 417116172.

The previous prime is 417116171. The next prime is 417116213. The reversal of 417116173 is 371611714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332807049 + 84309124 = 18243^2 + 9182^2 .

It is a cyclic number.

It is not a de Polignac number, because 417116173 - 2¹ = 417116171 is a prime.

Together with 417116171, 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 (417116171) 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, 208558086 + 208558087.

It is an arithmetic number, because the mean of its divisors is an integer number (208558087).

Almost surely, 2^417116173 is an apocalyptic number.

It is an amenable number.

417116173 is a deficient number, since it is larger than the sum of its proper divisors (1).

417116173 is an equidigital number, since it uses as much as digits as its factorization.

417116173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 31.

The square root of 417116173 is about 20423.4221667183. The cubic root of 417116173 is about 747.1692838734.

Adding to 417116173 its reverse (371611714), we get a palindrome (788727887).

The spelling of 417116173 in words is "four hundred seventeen million, one hundred sixteen thousand, one hundred seventy-three".