82221 has 4 divisors (see below), whose sum is σ = 109632. Its totient is φ = 54812.

The previous prime is 82219. The next prime is 82223. The reversal of 82221 is 12228.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (82219) and next prime (82223).

It is a cyclic number.

It is not a de Polignac number, because 82221 - 2¹ = 82219 is a prime.

It is a D-number.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 82221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82223) 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 in 3 ways as a sum of consecutive naturals, for example, 13701 + ... + 13706.

It is an arithmetic number, because the mean of its divisors is an integer number (27408).

2⁸²²²¹ is an apocalyptic number.

It is an amenable number.

82221 is a deficient number, since it is larger than the sum of its proper divisors (27411).

82221 is a wasteful number, since it uses less digits than its factorization.

82221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27410.

The product of its digits is 64, while the sum is 15.

The square root of 82221 is about 286.7420443535. The cubic root of 82221 is about 43.4838095382.

Adding to 82221 its reverse (12228), we get a palindrome (94449).

It can be divided in two parts, 82 and 221, that added together give a palindrome (303).

The spelling of 82221 in words is "eighty-two thousand, two hundred twenty-one".