198369 has 20 divisors (see below), whose sum is σ = 309760. Its totient is φ = 126360.

The previous prime is 198349. The next prime is 198377. The reversal of 198369 is 963891.

198369 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 198369 - 2⁵ = 198337 is a prime.

It is a super-2 number, since 2×198369² = 78700520322, which contains 22 as substring.

It is a Duffinian number.

198369 is an undulating number in base 12.

198369 is a lucky number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198369.

It is not an unprimeable number, because it can be changed into a prime (198349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2472 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (15488).

2¹⁹⁸³⁶⁹ is an apocalyptic number.

It is an amenable number.

198369 is a deficient number, since it is larger than the sum of its proper divisors (111391).

198369 is an equidigital number, since it uses as much as digits as its factorization.

198369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 198369 is about 445.3863491397. The cubic root of 198369 is about 58.3209515671.

The spelling of 198369 in words is "one hundred ninety-eight thousand, three hundred sixty-nine".