27982 has 8 divisors (see below), whose sum is σ = 44496. Its totient is φ = 13152.

The previous prime is 27967. The next prime is 27983. The reversal of 27982 is 28972.

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 27982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27983) by changing a digit.

27982 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 3 ways as a sum of consecutive naturals, for example, 378 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (5562).

2²⁷⁹⁸² is an apocalyptic number.

27982 is a deficient number, since it is larger than the sum of its proper divisors (16514).

27982 is a wasteful number, since it uses less digits than its factorization.

27982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its digits is 2016, while the sum is 28.

The square root of 27982 is about 167.2782113726. The cubic root of 27982 is about 30.3593813475.

Subtracting 27982 from its reverse (28972), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 279 and 82, that added together give a square (361 = 19²).

The spelling of 27982 in words is "twenty-seven thousand, nine hundred eighty-two".