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8322 = 231973
BaseRepresentation
bin10000010000010
3102102020
42002002
5231242
6102310
733156
oct20202
912366
108322
116286
124996
133a32
143066
1526ec
hex2082

8322 has 16 divisors (see below), whose sum is σ = 17760. Its totient is φ = 2592.

The previous prime is 8317. The next prime is 8329. The reversal of 8322 is 2238.

8322 is nontrivially palindromic in base 4 and base 8.

8322 is an undulating number in base 8.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8329) by changing a digit.

8322 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1110).

28322 is an apocalyptic number.

8322 is an abundant number, since it is smaller than the sum of its proper divisors (9438).

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 (8880).

8322 is a wasteful number, since it uses less digits than its factorization.

8322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 96, while the sum is 15.

The square root of 8322 is about 91.2249965744. The cubic root of 8322 is about 20.2648115992.

Subtracting from 8322 its reverse (2238), we obtain a square (6084 = 782).

It can be divided in two parts, 83 and 22, that added together give a triangular number (105 = T14).

The spelling of 8322 in words is "eight thousand, three hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 73 114 146 219 438 1387 2774 4161 8322