198393 has 8 divisors (see below), whose sum is σ = 284928. Its totient is φ = 122064.

The previous prime is 198391. The next prime is 198397. The reversal of 198393 is 393891.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 198393 - 2¹ = 198391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 2582.

It is an arithmetic number, because the mean of its divisors is an integer number (35616).

2¹⁹⁸³⁹³ is an apocalyptic number.

198393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

198393 is a deficient number, since it is larger than the sum of its proper divisors (86535).

198393 is a wasteful number, since it uses less digits than its factorization.

198393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103.

The product of its digits is 5832, while the sum is 33.

The square root of 198393 is about 445.4132912251. The cubic root of 198393 is about 58.3233034910.

The spelling of 198393 in words is "one hundred ninety-eight thousand, three hundred ninety-three".