198801 has 16 divisors (see below), whose sum is σ = 304000. Its totient is φ = 128304.

The previous prime is 198769. The next prime is 198811. The reversal of 198801 is 108891.

It is not a de Polignac number, because 198801 - 2⁵ = 198769 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198811) 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, 900 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (19000).

2¹⁹⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

198801 is a deficient number, since it is larger than the sum of its proper divisors (105199).

198801 is a wasteful number, since it uses less digits than its factorization.

198801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 198801 is about 445.8710575940. The cubic root of 198801 is about 58.3632572094.

It can be divided in two parts, 19880 and 1, that added together give a square (19881 = 141²).

The spelling of 198801 in words is "one hundred ninety-eight thousand, eight hundred one".