398333 has 6 divisors (see below), whose sum is σ = 431514. Its totient is φ = 367536.

The previous prime is 398323. The next prime is 398339. The reversal of 398333 is 333893.

It can be written as a sum of positive squares in 3 ways, for example, as 11449 + 386884 = 107^2 + 622^2 .

It is not a de Polignac number, because 398333 - 2⁸ = 398077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 398296 and 398305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (71919).

2³⁹⁸³³³ is an apocalyptic number.

It is an amenable number.

398333 is a deficient number, since it is larger than the sum of its proper divisors (33181).

398333 is a wasteful number, since it uses less digits than its factorization.

398333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 398333 is about 631.1362768848. The cubic root of 398333 is about 73.5781327798.

The spelling of 398333 in words is "three hundred ninety-eight thousand, three hundred thirty-three".