32321 has 2 divisors, whose sum is σ = 32322. Its totient is φ = 32320.

The previous prime is 32309. The next prime is 32323. The reversal of 32321 is 12323.

32321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 6400 = 161^2 + 80^2 .

It is an emirp because it is prime and its reverse (12323) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32321 - 2⁶ = 32257 is a prime.

Together with 32323, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32321.

It is not a weakly prime, because it can be changed into another prime (32323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16160 + 16161.

It is an arithmetic number, because the mean of its divisors is an integer number (16161).

2³²³²¹ is an apocalyptic number.

It is an amenable number.

32321 is a deficient number, since it is larger than the sum of its proper divisors (1).

32321 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 11 representation: 32321 = (22313)₁₁.

32321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 11.

The square root of 32321 is about 179.7804216259. The cubic root of 32321 is about 31.8538254858.

Adding to 32321 its reverse (12323), we get a palindrome (44644).

It can be divided in two parts, 32 and 321, that added together give a palindrome (353).

The spelling of 32321 in words is "thirty-two thousand, three hundred twenty-one".