198733 has 2 divisors, whose sum is σ = 198734. Its totient is φ = 198732.

The previous prime is 198719. The next prime is 198761. The reversal of 198733 is 337891.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 6889 = 438^2 + 83^2 .

It is an emirp because it is prime and its reverse (337891) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 198733 - 2⁵ = 198701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 198695 and 198704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198533) 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 as a sum of consecutive naturals, namely, 99366 + 99367.

It is an arithmetic number, because the mean of its divisors is an integer number (99367).

2¹⁹⁸⁷³³ is an apocalyptic number.

It is an amenable number.

198733 is a deficient number, since it is larger than the sum of its proper divisors (1).

198733 is an equidigital number, since it uses as much as digits as its factorization.

198733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 198733 is about 445.7947958422. The cubic root of 198733 is about 58.3566020549.

The spelling of 198733 in words is "one hundred ninety-eight thousand, seven hundred thirty-three".