The cubic root of 32768 is 32.
It is a Jordan-Polya number, since it can be written as (2!)15.
32768 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.
It is a tau number, because it is divible by the number of its divisors (16).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=128.
It is a Duffinian number.
It is a plaindrome in base 11.
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 3.
It is an unprimeable number.
In principle, a polygon with 32768 sides can be constructed with ruler and compass.
It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.
32768 is a Friedman number, since it can be written as (2^(8-7-6))^(-3), using all its digits and the basic arithmetic operations.
232768 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 32768
32768 is an frugal number, since it uses more digits than its factorization.
32768 is an odious number, because the sum of its binary digits is odd.
The square root of 32768 is about 181.0193359838.
The spelling of 32768 in words is "thirty-two thousand, seven hundred sixty-eight".