32766 has 16 divisors (see below), whose sum is σ = 67584. Its totient is φ = 10584.

The previous prime is 32749. The next prime is 32771. The reversal of 32766 is 66723.

32766 = 89² + 90² + ... + 92².

It is a super-2 number, since 2×32766² = 2147221512, which contains 22 as substring.

It is a plaindrome in base 11.

It is a nialpdrome in base 2 and base 8.

It is a congruent number.

It is an unprimeable number.

32766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (4224).

2³²⁷⁶⁶ is an apocalyptic number.

32766 is an abundant number, since it is smaller than the sum of its proper divisors (34818).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33792).

32766 is a wasteful number, since it uses less digits than its factorization.

32766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 1512, while the sum is 24.

The square root of 32766 is about 181.0138116277. The cubic root of 32766 is about 31.9993489451. Note that the first 3 decimals are identical.

It can be divided in two parts, 327 and 66, that added together give a palindrome (393).

The spelling of 32766 in words is "thirty-two thousand, seven hundred sixty-six".