198261 has 16 divisors (see below), whose sum is σ = 336000. Its totient is φ = 113184.

The previous prime is 198259. The next prime is 198277. The reversal of 198261 is 162891.

198261 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 198261 - 2¹ = 198259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

198261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198221) 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, 336 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2¹⁹⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

198261 is a deficient number, since it is larger than the sum of its proper divisors (137739).

198261 is a wasteful number, since it uses less digits than its factorization.

198261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 198261 is about 445.2650895815. The cubic root of 198261 is about 58.3103655612.

The spelling of 198261 in words is "one hundred ninety-eight thousand, two hundred sixty-one".