198993 has 8 divisors (see below), whose sum is σ = 268128. Its totient is φ = 131264.

The previous prime is 198977. The next prime is 198997. The reversal of 198993 is 399891.

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

It is a cyclic number.

It is not a de Polignac number, because 198993 - 2⁴ = 198977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198997) 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, 46 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2¹⁹⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

198993 is a deficient number, since it is larger than the sum of its proper divisors (69135).

198993 is a wasteful number, since it uses less digits than its factorization.

198993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its digits is 17496, while the sum is 39.

The square root of 198993 is about 446.0863145177. The cubic root of 198993 is about 58.3820400456.

The spelling of 198993 in words is "one hundred ninety-eight thousand, nine hundred ninety-three".