18333 has 16 divisors (see below), whose sum is σ = 31360. Its totient is φ = 10368.

The previous prime is 18329. The next prime is 18341. The reversal of 18333 is 33381.

It is not a de Polignac number, because 18333 - 2² = 18329 is a prime.

18333 is a modest number, since divided by 333 gives 18 as remainder.

18333 is a lucky number.

It is a plaindrome in base 16.

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 18333.

It is not an unprimeable number, because it can be changed into a prime (18313) 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, 141 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2¹⁸³³³ is an apocalyptic number.

It is an amenable number.

18333 is a deficient number, since it is larger than the sum of its proper divisors (13027).

18333 is an equidigital number, since it uses as much as digits as its factorization.

18333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 18333 is about 135.3994091568. The cubic root of 18333 is about 26.3680398366.

It can be divided in two parts, 183 and 33, that added together give a cube (216 = 6³).

The spelling of 18333 in words is "eighteen thousand, three hundred thirty-three".