198337 has 2 divisors, whose sum is σ = 198338. Its totient is φ = 198336.

The previous prime is 198323. The next prime is 198347. The reversal of 198337 is 733891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 25281 = 416^2 + 159^2 .

It is a cyclic number.

It is not a de Polignac number, because 198337 - 2¹⁵ = 165569 is a prime.

198337 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 198299 and 198308.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198337.

It is not a weakly prime, because it can be changed into another prime (198347) 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, 99168 + 99169.

It is an arithmetic number, because the mean of its divisors is an integer number (99169).

2¹⁹⁸³³⁷ is an apocalyptic number.

It is an amenable number.

198337 is a deficient number, since it is larger than the sum of its proper divisors (1).

198337 is an equidigital number, since it uses as much as digits as its factorization.

198337 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 198337 is about 445.3504238238. The cubic root of 198337 is about 58.3178153734.

It can be divided in two parts, 19833 and 7, that multiplied together give a palindrome (138831).

The spelling of 198337 in words is "one hundred ninety-eight thousand, three hundred thirty-seven".