198123585 has 24 divisors (see below), whose sum is σ = 348438720. Its totient is φ = 96059040.

The previous prime is 198123577. The next prime is 198123589. The reversal of 198123585 is 585321891.

It is not a de Polignac number, because 198123585 - 2³ = 198123577 is a prime.

It is a super-3 number, since 3×198123585³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198123589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52765 + ... + 56394.

It is an arithmetic number, because the mean of its divisors is an integer number (14518280).

Almost surely, 2^198123585 is an apocalyptic number.

198123585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198123585 is a deficient number, since it is larger than the sum of its proper divisors (150315135).

198123585 is a wasteful number, since it uses less digits than its factorization.

198123585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109189 (or 109178 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 198123585 is about 14075.6379961975. The cubic root of 198123585 is about 582.9689077995.

The spelling of 198123585 in words is "one hundred ninety-eight million, one hundred twenty-three thousand, five hundred eighty-five".