198366 has 16 divisors (see below), whose sum is σ = 453504. Its totient is φ = 56664.

The previous prime is 198349. The next prime is 198377. The reversal of 198366 is 663891.

198366 = 56² + 57² + ... + 91².

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198366.

It is an unprimeable number.

198366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (28344).

2¹⁹⁸³⁶⁶ is an apocalyptic number.

198366 is an abundant number, since it is smaller than the sum of its proper divisors (255138).

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

198366 is a wasteful number, since it uses less digits than its factorization.

198366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735.

The product of its digits is 7776, while the sum is 33.

The square root of 198366 is about 445.3829812644. The cubic root of 198366 is about 58.3206575632.

It can be divided in two parts, 19 and 8366, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 198366 in words is "one hundred ninety-eight thousand, three hundred sixty-six".