398393 has 2 divisors, whose sum is σ = 398394. Its totient is φ = 398392.

The previous prime is 398369. The next prime is 398407. The reversal of 398393 is 393893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344569 + 53824 = 587^2 + 232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-398393 is a prime.

It is not a weakly prime, because it can be changed into another prime (398303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199196 + 199197.

It is an arithmetic number, because the mean of its divisors is an integer number (199197).

2³⁹⁸³⁹³ is an apocalyptic number.

It is an amenable number.

398393 is a deficient number, since it is larger than the sum of its proper divisors (1).

398393 is an equidigital number, since it uses as much as digits as its factorization.

398393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 35.

The square root of 398393 is about 631.1838084108. The cubic root of 398393 is about 73.5818268970.

The spelling of 398393 in words is "three hundred ninety-eight thousand, three hundred ninety-three".