198492 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 52992.

The previous prime is 198491. The next prime is 198503. The reversal of 198492 is 294891.

198492 = 154² + 155² + ... + 161².

198492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 198492.

It is not an unprimeable number, because it can be changed into a prime (198491) 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, 1359 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹⁹⁸⁴⁹² is an apocalyptic number.

198492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

198492 is an abundant number, since it is smaller than the sum of its proper divisors (365988).

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

198492 is a wasteful number, since it uses less digits than its factorization.

198492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 198492 is about 445.5244101057. The cubic root of 198492 is about 58.3330031727. Note that the first 3 decimals are identical.

The spelling of 198492 in words is "one hundred ninety-eight thousand, four hundred ninety-two".