18304 has 32 divisors (see below), whose sum is σ = 42840. Its totient is φ = 7680.

The previous prime is 18301. The next prime is 18307. The reversal of 18304 is 40381.

18304 = T₉ + T₁₀ + ... + T₄₇.

18304 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (18301) and next prime (18307).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1402 + ... + 1414.

2¹⁸³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420).

18304 is an abundant number, since it is smaller than the sum of its proper divisors (24536).

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

18304 is a wasteful number, since it uses less digits than its factorization.

18304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 18304 is about 135.2922762023. The cubic root of 18304 is about 26.3541290981.

Adding to 18304 its reverse (40381), we get a palindrome (58685).

The spelling of 18304 in words is "eighteen thousand, three hundred four".