82219 has 2 divisors, whose sum is σ = 82220. Its totient is φ = 82218.

The previous prime is 82217. The next prime is 82223. The reversal of 82219 is 91228.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82219 - 2¹ = 82217 is a prime.

It is a super-2 number, since 2×82219² = 13519927922, which contains 22 as substring.

Together with 82217, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82219.

It is not a weakly prime, because it can be changed into another prime (82217) 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 as a sum of consecutive naturals, namely, 41109 + 41110.

It is an arithmetic number, because the mean of its divisors is an integer number (41110).

2⁸²²¹⁹ is an apocalyptic number.

82219 is a deficient number, since it is larger than the sum of its proper divisors (1).

82219 is an equidigital number, since it uses as much as digits as its factorization.

82219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

The square root of 82219 is about 286.7385568772. The cubic root of 82219 is about 43.4834569587.

Subtracting 82219 from its reverse (91228), we obtain a palindrome (9009).

It can be divided in two parts, 822 and 19, that added together give a square (841 = 29²).

The spelling of 82219 in words is "eighty-two thousand, two hundred nineteen".