12384 has 36 divisors (see below), whose sum is σ = 36036. Its totient is φ = 4032.

The previous prime is 12379. The next prime is 12391. The reversal of 12384 is 48321.

12384 = 15^{3} + 16^{3} + 17^{3}.

It is a happy number.

12384 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a cake number, because a cake can be divided into 12384 parts by 42 planar cuts.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (192) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (1001).

12384 is a Friedman number, since it can be written as 4128*3, using all its digits and the basic arithmetic operations.

2^{12384} 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 12384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018).

12384 is an abundant number, since it is smaller than the sum of its proper divisors (23652).

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

12384 is a wasteful number, since it uses less digits than its factorization.

12384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12384 is about 111.2834219459. The cubic root of 12384 is about 23.1359310386.

Subtracting 12384 from its reverse (48321), we obtain a cube (35937 = 33^{3}).

The spelling of 12384 in words is "twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384

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