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8682 = 231447

8682 has 8 divisors (see below), whose sum is σ = 17376. Its totient is φ = 2892.

The previous prime is 8681. The next prime is 8689. The reversal of 8682 is 2868.

8682 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.

8682 is an admirable number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8682.

It is not an unprimeable number, because it can be changed into a prime (8681) 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, 718 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (2172).

28682 is an apocalyptic number.

8682 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (8688).

8682 is a wasteful number, since it uses less digits than its factorization.

8682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

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

The square root of 8682 is about 93.1772504424. The cubic root of 8682 is about 20.5529071609.

The spelling of 8682 in words is "eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 1447 2894 4341 8682