198185 has 8 divisors (see below), whose sum is σ = 256200. Its totient is φ = 146304.

The previous prime is 198179. The next prime is 198193. The reversal of 198185 is 581891.

198185 = T₁₅₅ + T₁₅₆ + ... + T₁₆₉.

It is a happy number.

198185 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 196249 = 44^2 + 443^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 198185 - 2¹⁰ = 197161 is a prime.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198185.

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 7 ways as a sum of consecutive naturals, for example, 1460 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (32025).

2¹⁹⁸¹⁸⁵ is an apocalyptic number.

It is an amenable number.

198185 is a deficient number, since it is larger than the sum of its proper divisors (58015).

198185 is a wasteful number, since it uses less digits than its factorization.

198185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067.

The product of its digits is 2880, while the sum is 32.

The square root of 198185 is about 445.1797389819. The cubic root of 198185 is about 58.3029138449.

It can be divided in two parts, 198 and 185, that added together give a palindrome (383).

The spelling of 198185 in words is "one hundred ninety-eight thousand, one hundred eighty-five".