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8382 = 2311127

8382 has 16 divisors (see below), whose sum is σ = 18432. Its totient is φ = 2520.

The previous prime is 8377. The next prime is 8387. The reversal of 8382 is 2838.

8382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8377) and next prime (8387).

It is a nialpdrome in base 11.

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 8382.

It is not an unprimeable number, because it can be changed into a prime (8387) by changing a digit.

8382 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, 3 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

28382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216).

8382 is an abundant number, since it is smaller than the sum of its proper divisors (10050).

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

8382 is a wasteful number, since it uses less digits than its factorization.

8382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 384, while the sum is 21.

The square root of 8382 is about 91.5532631860. The cubic root of 8382 is about 20.3133968046.

The spelling of 8382 in words is "eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 1397 2794 4191 8382