198211 has 8 divisors (see below), whose sum is σ = 217280. Its totient is φ = 179712.

The previous prime is 198197. The next prime is 198221. The reversal of 198211 is 112891.

198211 is nontrivially palindromic in base 4.

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

It is not a de Polignac number, because 198211 - 2⁵ = 198179 is a prime.

It is a Duffinian number.

198211 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (198221) by changing a digit.

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, 931 + ... + 1123.

It is an arithmetic number, because the mean of its divisors is an integer number (27160).

2¹⁹⁸²¹¹ is an apocalyptic number.

198211 is a deficient number, since it is larger than the sum of its proper divisors (19069).

198211 is a wasteful number, since it uses less digits than its factorization.

198211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its digits is 144, while the sum is 22.

The square root of 198211 is about 445.2089397126. The cubic root of 198211 is about 58.3054633306.

The spelling of 198211 in words is "one hundred ninety-eight thousand, two hundred eleven".