417973117 has 2 divisors, whose sum is σ = 417973118. Its totient is φ = 417973116.

The previous prime is 417973099. The next prime is 417973123. The reversal of 417973117 is 711379714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252619236 + 165353881 = 15894^2 + 12859^2 .

It is a cyclic number.

It is not a de Polignac number, because 417973117 - 2¹¹ = 417971069 is a prime.

It is a super-3 number, since 3×417973117³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 417973117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417973187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208986558 + 208986559.

It is an arithmetic number, because the mean of its divisors is an integer number (208986559).

Almost surely, 2^417973117 is an apocalyptic number.

It is an amenable number.

417973117 is a deficient number, since it is larger than the sum of its proper divisors (1).

417973117 is an equidigital number, since it uses as much as digits as its factorization.

417973117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37044, while the sum is 40.

The square root of 417973117 is about 20444.3908444346. The cubic root of 417973117 is about 747.6806076566.

The spelling of 417973117 in words is "four hundred seventeen million, nine hundred seventy-three thousand, one hundred seventeen".