398033 has 2 divisors, whose sum is σ = 398034. Its totient is φ = 398032.

The previous prime is 398029. The next prime is 398039. The reversal of 398033 is 330893.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 368449 + 29584 = 607^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 398033 - 2² = 398029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 397993 and 398011.

It is not a weakly prime, because it can be changed into another prime (398039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199016 + 199017.

It is an arithmetic number, because the mean of its divisors is an integer number (199017).

2³⁹⁸⁰³³ is an apocalyptic number.

It is an amenable number.

398033 is a deficient number, since it is larger than the sum of its proper divisors (1).

398033 is an equidigital number, since it uses as much as digits as its factorization.

398033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 398033 is about 630.8985655397. The cubic root of 398033 is about 73.5596566275.

The spelling of 398033 in words is "three hundred ninety-eight thousand, thirty-three".