198165 has 16 divisors (see below), whose sum is σ = 346176. Its totient is φ = 96000.

The previous prime is 198139. The next prime is 198173. The reversal of 198165 is 561891.

It is a happy number.

It is not a de Polignac number, because 198165 - 2⁸ = 197909 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 436 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (21636).

2¹⁹⁸¹⁶⁵ is an apocalyptic number.

198165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198165 is a deficient number, since it is larger than the sum of its proper divisors (148011).

198165 is a wasteful number, since it uses less digits than its factorization.

198165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220.

The product of its digits is 2160, while the sum is 30.

The square root of 198165 is about 445.1572755780. The cubic root of 198165 is about 58.3009525503.

Subtracting from 198165 its sum of digits (30), we obtain a triangular number (198135 = T₆₂₉).

It can be divided in two parts, 198 and 165, that added together give a palindrome (363).

The spelling of 198165 in words is "one hundred ninety-eight thousand, one hundred sixty-five".