83219 has 2 divisors, whose sum is σ = 83220. Its totient is φ = 83218.

The previous prime is 83207. The next prime is 83221. The reversal of 83219 is 91238.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 83219 - 2⁴ = 83203 is a prime.

It is a super-2 number, since 2×83219² = 13850803922, which contains 22 as substring.

Together with 83221, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 83194 and 83203.

It is not a weakly prime, because it can be changed into another prime (83269) 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, 41609 + 41610.

It is an arithmetic number, because the mean of its divisors is an integer number (41610).

2⁸³²¹⁹ is an apocalyptic number.

83219 is a deficient number, since it is larger than the sum of its proper divisors (1).

83219 is an equidigital number, since it uses as much as digits as its factorization.

83219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

The square root of 83219 is about 288.4770354812. The cubic root of 83219 is about 43.6590382209.

It can be divided in two parts, 8 and 3219, that multiplied together give a palindrome (25752).

The spelling of 83219 in words is "eighty-three thousand, two hundred nineteen".