18198 has 16 divisors (see below), whose sum is σ = 40560. Its totient is φ = 6048.

The previous prime is 18191. The next prime is 18199. The reversal of 18198 is 89181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18191) by changing a digit.

18198 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (2535).

2¹⁸¹⁹⁸ is an apocalyptic number.

18198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

18198 is an abundant number, since it is smaller than the sum of its proper divisors (22362).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20280).

18198 is a wasteful number, since it uses less digits than its factorization.

18198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 18198 is about 134.8999629355. The cubic root of 18198 is about 26.3031575866.

Adding to 18198 its sum of digits (27), we get a square (18225 = 135²).

It can be divided in two parts, 18 and 198, that added together give a cube (216 = 6³).

The spelling of 18198 in words is "eighteen thousand, one hundred ninety-eight".