6882 has 16 divisors (see below), whose sum is σ = 14592. Its totient is φ = 2160.

The previous prime is 6871. The next prime is 6883. The reversal of 6882 is 2886.

6882 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883) by changing a digit.

6882 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 7 ways as a sum of consecutive naturals, for example, 168 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

2⁶⁸⁸² is an apocalyptic number.

6882 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

6882 is an abundant number, since it is smaller than the sum of its proper divisors (7710).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296).

6882 is a wasteful number, since it uses less digits than its factorization.

6882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its digits is 768, while the sum is 24.

The square root of 6882 is about 82.9578206078. The cubic root of 6882 is about 19.0212136099.

It can be divided in two parts, 6 and 882, that added together give a palindrome (888).

The spelling of 6882 in words is "six thousand, eight hundred eighty-two".