82321 has 4 divisors (see below), whose sum is σ = 82944. Its totient is φ = 81700.

The previous prime is 82307. The next prime is 82339. The reversal of 82321 is 12328.

It is a happy number.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82321 - 2⁷ = 82193 is a prime.

It is a Duffinian number.

82321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 82295 and 82304.

It is not an unprimeable number, because it can be changed into a prime (82301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2⁸²³²¹ is an apocalyptic number.

It is an amenable number.

82321 is a deficient number, since it is larger than the sum of its proper divisors (623).

82321 is a wasteful number, since it uses less digits than its factorization.

82321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622.

The product of its digits is 96, while the sum is 16.

The square root of 82321 is about 286.9163641203. The cubic root of 82321 is about 43.5014312296.

Adding to 82321 its reverse (12328), we get a palindrome (94649).

The spelling of 82321 in words is "eighty-two thousand, three hundred twenty-one".