417254897 has 2 divisors, whose sum is σ = 417254898. Its totient is φ = 417254896.

The previous prime is 417254879. The next prime is 417254899. The reversal of 417254897 is 798452714.

Together with previous prime (417254879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 370524001 + 46730896 = 19249^2 + 6836^2 .

It is a cyclic number.

It is not a de Polignac number, because 417254897 - 2¹⁰ = 417253873 is a prime.

Together with 417254899, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417254899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208627448 + 208627449.

It is an arithmetic number, because the mean of its divisors is an integer number (208627449).

Almost surely, 2^417254897 is an apocalyptic number.

It is an amenable number.

417254897 is a deficient number, since it is larger than the sum of its proper divisors (1).

417254897 is an equidigital number, since it uses as much as digits as its factorization.

417254897 is an evil number, because the sum of its binary digits is even.

The product of its digits is 564480, while the sum is 47.

The square root of 417254897 is about 20426.8180830985. The cubic root of 417254897 is about 747.2521055827.

The spelling of 417254897 in words is "four hundred seventeen million, two hundred fifty-four thousand, eight hundred ninety-seven".