83321 has 4 divisors (see below), whose sum is σ = 95232. Its totient is φ = 71412.

The previous prime is 83311. The next prime is 83339. The reversal of 83321 is 12338.

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 a cyclic number.

It is not a de Polignac number, because 83321 - 2⁶ = 83257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

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 83321.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83321.

It is not an unprimeable number, because it can be changed into a prime (83311) 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, 5945 + ... + 5958.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁸³³²¹ is an apocalyptic number.

It is an amenable number.

83321 is a deficient number, since it is larger than the sum of its proper divisors (11911).

83321 is a wasteful number, since it uses less digits than its factorization.

83321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910.

The product of its digits is 144, while the sum is 17.

The square root of 83321 is about 288.6537718444. The cubic root of 83321 is about 43.6768682987.

Adding to 83321 its sum of digits (17), we get a palindrome (83338).

Adding to 83321 its reverse (12338), we get a palindrome (95659).

It can be divided in two parts, 83 and 321, that added together give a palindrome (404).

The spelling of 83321 in words is "eighty-three thousand, three hundred twenty-one".