198961 has 8 divisors (see below), whose sum is σ = 233024. Its totient is φ = 166320.

The previous prime is 198959. The next prime is 198967. The reversal of 198961 is 169891.

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

It is not a de Polignac number, because 198961 - 2¹ = 198959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198967) 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, 30 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (29128).

2¹⁹⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

198961 is a deficient number, since it is larger than the sum of its proper divisors (34063).

198961 is an equidigital number, since it uses as much as digits as its factorization.

198961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711.

The product of its digits is 3888, while the sum is 34.

The square root of 198961 is about 446.0504455776. The cubic root of 198961 is about 58.3789104121.

The spelling of 198961 in words is "one hundred ninety-eight thousand, nine hundred sixty-one".