19782 has 24 divisors (see below), whose sum is σ = 49296. Its totient is φ = 5616.

The previous prime is 19777. The next prime is 19793. The reversal of 19782 is 28791.

19782 is nontrivially palindromic in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19782.

It is an unprimeable number.

19782 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 11 ways as a sum of consecutive naturals, for example, 48 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (2054).

2¹⁹⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648).

19782 is an abundant number, since it is smaller than the sum of its proper divisors (29514).

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

19782 is a wasteful number, since it uses less digits than its factorization.

19782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 19782 is about 140.6484980368. The cubic root of 19782 is about 27.0451918068.

Subtracting 19782 from its reverse (28791), we obtain a palindrome (9009).

The spelling of 19782 in words is "nineteen thousand, seven hundred eighty-two".