198585 has 16 divisors (see below), whose sum is σ = 353280. Its totient is φ = 105840.

The previous prime is 198571. The next prime is 198589. The reversal of 198585 is 585891.

It is not a de Polignac number, because 198585 - 2⁵ = 198553 is a prime.

198585 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198585.

It is not an unprimeable number, because it can be changed into a prime (198589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (22080).

2¹⁹⁸⁵⁸⁵ is an apocalyptic number.

198585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198585 is a deficient number, since it is larger than the sum of its proper divisors (154695).

198585 is a wasteful number, since it uses less digits than its factorization.

198585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 198585 is about 445.6287692688. The cubic root of 198585 is about 58.3421120575.

The spelling of 198585 in words is "one hundred ninety-eight thousand, five hundred eighty-five".