18200 has 48 divisors (see below), whose sum is σ = 52080. Its totient is φ = 5760.

The previous prime is 18199. The next prime is 18211. The reversal of 18200 is 281.

18200 = 14² + 15² + ... + 38².

18200 is nontrivially palindromic in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1394 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (1085).

2¹⁸²⁰⁰ is an apocalyptic number.

18200 is a gapful number since it is divisible by the number (10) 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 18200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

18200 is an abundant number, since it is smaller than the sum of its proper divisors (33880).

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

18200 is a wasteful number, since it uses less digits than its factorization.

18200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 18200 is about 134.9073756323. The cubic root of 18200 is about 26.3041211429.

Adding to 18200 its reverse (281), we get a palindrome (18481).

It can be divided in two parts, 18 and 200, that multiplied together give a square (3600 = 60²).

The spelling of 18200 in words is "eighteen thousand, two hundred".