198306 has 24 divisors (see below), whose sum is σ = 449280. Its totient is φ = 63096.

The previous prime is 198301. The next prime is 198313. The reversal of 198306 is 603891.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 198306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198301) 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 in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2¹⁹⁸³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

198306 is an abundant number, since it is smaller than the sum of its proper divisors (250974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198306 is a wasteful number, since it uses less digits than its factorization.

198306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 198306 is about 445.3156184101. The cubic root of 198306 is about 58.3147768641.

The spelling of 198306 in words is "one hundred ninety-eight thousand, three hundred six".