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8219 is a prime number

8219 has 2 divisors, whose sum is σ = 8220. Its totient is φ = 8218.

The previous prime is 8209. The next prime is 8221. The reversal of 8219 is 9128.

8219 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8219 - 28 = 7963 is a prime.

It is a super-2 number, since 2×82192 = 135103922, which contains 22 as substring.

Together with 8221, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8219.

It is not a weakly prime, because it can be changed into another prime (8209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4109 + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (4110).

28219 is an apocalyptic number.

8219 is a deficient number, since it is larger than the sum of its proper divisors (1).

8219 is an equidigital number, since it uses as much as digits as its factorization.

8219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

The square root of 8219 is about 90.6587006304. The cubic root of 8219 is about 20.1808595610.

Subtracting 8219 from its reverse (9128), we obtain a palindrome (909).

It can be divided in two parts, 82 and 19, that added together give a palindrome (101).

The spelling of 8219 in words is "eight thousand, two hundred nineteen".