198891 has 36 divisors (see below), whose sum is σ = 373464. Its totient is φ = 100800.

The previous prime is 198859. The next prime is 198899.

198891 is nontrivially palindromic in base 10.

198891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198891 - 2⁵ = 198859 is a prime.

Its product of digits (5184) is a multiple of the sum of its prime factors (72).

198891 is a modest number, since divided by 891 gives 198 as remainder.

It is not an unprimeable number, because it can be changed into a prime (198899) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4831 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2¹⁹⁸⁸⁹¹ is an apocalyptic number.

198891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

198891 is a deficient number, since it is larger than the sum of its proper divisors (174573).

198891 is a wasteful number, since it uses less digits than its factorization.

198891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 198891 is about 445.9719722135. The cubic root of 198891 is about 58.3720631689.

It can be divided in two parts, 198 and 891, that added together give a square (1089 = 33²).

The spelling of 198891 in words is "one hundred ninety-eight thousand, eight hundred ninety-one".