198593 has 2 divisors, whose sum is σ = 198594. Its totient is φ = 198592.

The previous prime is 198589. The next prime is 198599. The reversal of 198593 is 395891.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 73984 = 353^2 + 272^2 .

It is an emirp because it is prime and its reverse (395891) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 198593 - 2² = 198589 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99296 + 99297.

It is an arithmetic number, because the mean of its divisors is an integer number (99297).

2¹⁹⁸⁵⁹³ is an apocalyptic number.

It is an amenable number.

198593 is a deficient number, since it is larger than the sum of its proper divisors (1).

198593 is an equidigital number, since it uses as much as digits as its factorization.

198593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 35.

The square root of 198593 is about 445.6377452595. The cubic root of 198593 is about 58.3428954846.

The spelling of 198593 in words is "one hundred ninety-eight thousand, five hundred ninety-three".