82782 has 40 divisors (see below), whose sum is σ = 214896. Its totient is φ = 23328.

The previous prime is 82781. The next prime is 82787. The reversal of 82782 is 28728.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 82782.

It is not an unprimeable number, because it can be changed into a prime (82781) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1098 + ... + 1170.

2⁸²⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448).

82782 is an abundant number, since it is smaller than the sum of its proper divisors (132114).

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

82782 is a wasteful number, since it uses less digits than its factorization.

82782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 82782 is about 287.7186125366. The cubic root of 82782 is about 43.5824832139.

It can be divided in two parts, 827 and 82, that added together give a palindrome (909).

The spelling of 82782 in words is "eighty-two thousand, seven hundred eighty-two".