18330 has 32 divisors (see below), whose sum is σ = 48384. Its totient is φ = 4416.

The previous prime is 18329. The next prime is 18341. The reversal of 18330 is 3381.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁸³³⁰ is an apocalyptic number.

18330 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 18330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

18330 is an abundant number, since it is smaller than the sum of its proper divisors (30054).

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

18330 is a wasteful number, since it uses less digits than its factorization.

18330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 18330 is about 135.3883303686. The cubic root of 18330 is about 26.3666014753.

The spelling of 18330 in words is "eighteen thousand, three hundred thirty".