198033 has 16 divisors (see below), whose sum is σ = 305856. Its totient is φ = 112640.

The previous prime is 198031. The next prime is 198043. The reversal of 198033 is 330891.

It is not a de Polignac number, because 198033 - 2¹ = 198031 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 197994 and 198012.

It is not an unprimeable number, because it can be changed into a prime (198031) 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 in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (19116).

2¹⁹⁸⁰³³ is an apocalyptic number.

It is an amenable number.

198033 is a deficient number, since it is larger than the sum of its proper divisors (107823).

198033 is a wasteful number, since it uses less digits than its factorization.

198033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 198033 is about 445.0089886733. The cubic root of 198033 is about 58.2880046952.

The spelling of 198033 in words is "one hundred ninety-eight thousand, thirty-three".