83221 has 2 divisors, whose sum is σ = 83222. Its totient is φ = 83220.
The previous prime is 83219. The next prime is 83227. The reversal of 83221 is 12238.
It is a happy number.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 70225 + 12996 = 265^2 + 114^2 .
It is a cyclic number.
It is not a de Polignac number, because 83221 - 21 = 83219 is a prime.
Together with 83219, it forms a pair of twin primes.
It is a nialpdrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 83195 and 83204.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (83227) 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, 41610 + 41611.
It is an arithmetic number, because the mean of its divisors is an integer number (41611).
283221 is an apocalyptic number.
It is an amenable number.
83221 is a deficient number, since it is larger than the sum of its proper divisors (1).
83221 is an equidigital number, since it uses as much as digits as its factorization.
83221 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 96, while the sum is 16.
The square root of 83221 is about 288.4805019408. The cubic root of 83221 is about 43.6593879703.
Adding to 83221 its reverse (12238), we get a palindrome (95459).
The spelling of 83221 in words is "eighty-three thousand, two hundred twenty-one".
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