198973 has 8 divisors (see below), whose sum is σ = 213696. Its totient is φ = 184800.

The previous prime is 198971. The next prime is 198977. The reversal of 198973 is 379891.

198973 is nontrivially palindromic in base 14.

198973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 198973 - 2¹ = 198971 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1048.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2¹⁹⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

198973 is a deficient number, since it is larger than the sum of its proper divisors (14723).

198973 is a wasteful number, since it uses less digits than its factorization.

198973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 13608, while the sum is 37.

The square root of 198973 is about 446.0638967682. The cubic root of 198973 is about 58.3800840640.

It can be divided in two parts, 19897 and 3, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 198973 in words is "one hundred ninety-eight thousand, nine hundred seventy-three".