198349 has 2 divisors, whose sum is σ = 198350. Its totient is φ = 198348.

The previous prime is 198347. The next prime is 198377. The reversal of 198349 is 943891.

198349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 324 = 445^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 198349 - 2¹ = 198347 is a prime.

Together with 198347, it forms a pair of twin primes.

198349 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99174 + 99175.

It is an arithmetic number, because the mean of its divisors is an integer number (99175).

2¹⁹⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

198349 is a deficient number, since it is larger than the sum of its proper divisors (1).

198349 is an equidigital number, since it uses as much as digits as its factorization.

198349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 34.

The square root of 198349 is about 445.3638961568. The cubic root of 198349 is about 58.3189914855.

The spelling of 198349 in words is "one hundred ninety-eight thousand, three hundred forty-nine".