27786 has 16 divisors (see below), whose sum is σ = 60768. Its totient is φ = 8400.

The previous prime is 27779. The next prime is 27791. The reversal of 27786 is 68772.

It is a nialpdrome in base 13.

It is an unprimeable number.

27786 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (3798).

2²⁷⁷⁸⁶ is an apocalyptic number.

27786 is an abundant number, since it is smaller than the sum of its proper divisors (32982).

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 (30384).

27786 is a wasteful number, since it uses less digits than its factorization.

27786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its digits is 4704, while the sum is 30.

The square root of 27786 is about 166.6913315083. The cubic root of 27786 is about 30.2883310730.

It can be divided in two parts, 277 and 86, that added together give a palindrome (363).

The spelling of 27786 in words is "twenty-seven thousand, seven hundred eighty-six".