9782 has 8 divisors (see below), whose sum is σ = 15096. Its totient is φ = 4752.

The previous prime is 9781. The next prime is 9787. The reversal of 9782 is 2879.

9782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 9782.

It is not an unprimeable number, because it can be changed into a prime (9781) by changing a digit.

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, 98 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1887).

2⁹⁷⁸² is an apocalyptic number.

9782 is a deficient number, since it is larger than the sum of its proper divisors (5314).

9782 is a wasteful number, since it uses less digits than its factorization.

9782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 1008, while the sum is 26.

The square root of 9782 is about 98.9039938526. The cubic root of 9782 is about 21.3866396940.

Subtracting from 9782 its reverse (2879), we obtain a triangular number (6903 = T₁₁₇).

The spelling of 9782 in words is "nine thousand, seven hundred eighty-two".