398417 has 2 divisors, whose sum is σ = 398418. Its totient is φ = 398416.

The previous prime is 398407. The next prime is 398423. The reversal of 398417 is 714893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398161 + 256 = 631^2 + 16^2 .

It is an emirp because it is prime and its reverse (714893) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 398417 - 2⁶ = 398353 is a prime.

It is a super-2 number, since 2×398417² = 317472211778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (398407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199208 + 199209.

It is an arithmetic number, because the mean of its divisors is an integer number (199209).

2³⁹⁸⁴¹⁷ is an apocalyptic number.

It is an amenable number.

398417 is a deficient number, since it is larger than the sum of its proper divisors (1).

398417 is an equidigital number, since it uses as much as digits as its factorization.

398417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 398417 is about 631.2028200190. The cubic root of 398417 is about 73.5833044400.

The spelling of 398417 in words is "three hundred ninety-eight thousand, four hundred seventeen".