27782 has 8 divisors (see below), whose sum is σ = 43200. Its totient is φ = 13384.

The previous prime is 27779. The next prime is 27791. The reversal of 27782 is 28772.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 182 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2²⁷⁷⁸² is an apocalyptic number.

27782 is a deficient number, since it is larger than the sum of its proper divisors (15418).

27782 is a wasteful number, since it uses less digits than its factorization.

27782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its digits is 1568, while the sum is 26.

The square root of 27782 is about 166.6793328520. The cubic root of 27782 is about 30.2868775935.

Subtracting 27782 from its reverse (28772), we obtain a triangular number (990 = T₄₄).

The spelling of 27782 in words is "twenty-seven thousand, seven hundred eighty-two".