398337 has 12 divisors (see below), whose sum is σ = 557424. Its totient is φ = 253000.

The previous prime is 398323. The next prime is 398339. The reversal of 398337 is 733893.

It is not a de Polignac number, because 398337 - 2⁶ = 398273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 398298 and 398307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398337.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (46452).

It is a Proth number, since it is equal to 389 ⋅ 2¹⁰ + 1 and 389 < 2¹⁰.

2³⁹⁸³³⁷ is an apocalyptic number.

It is an amenable number.

398337 is a deficient number, since it is larger than the sum of its proper divisors (159087).

398337 is a wasteful number, since it uses less digits than its factorization.

398337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 398337 is about 631.1394457646. The cubic root of 398337 is about 73.5783790659.

The spelling of 398337 in words is "three hundred ninety-eight thousand, three hundred thirty-seven".