198330 has 32 divisors (see below), whose sum is σ = 520128. Its totient is φ = 48000.

The previous prime is 198323. The next prime is 198337. The reversal of 198330 is 33891.

Added to its reverse (33891) it gives a triangular number (232221 = T₆₈₁).

198330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198323) and next prime (198337).

It is a self number, because there is not a number n which added to its sum of digits gives 198330.

It is not an unprimeable number, because it can be changed into a prime (198337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

2¹⁹⁸³³⁰ is an apocalyptic number.

198330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260064).

198330 is an abundant number, since it is smaller than the sum of its proper divisors (321798).

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

198330 is a wasteful number, since it uses less digits than its factorization.

198330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 198330 is about 445.3425647746. The cubic root of 198330 is about 58.3171292860.

Adding to 198330 its reverse (33891), we get a triangular number (232221 = T₆₈₁).

It can be divided in two parts, 198 and 330, that added together give a triangular number (528 = T₃₂).

The spelling of 198330 in words is "one hundred ninety-eight thousand, three hundred thirty".