38321 has 2 divisors, whose sum is σ = 38322. Its totient is φ = 38320.

The previous prime is 38317. The next prime is 38327. The reversal of 38321 is 12383.

38321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 4096 = 185^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 38321 - 2² = 38317 is a prime.

It is a Chen prime.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38321.

It is not a weakly prime, because it can be changed into another prime (38327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19160 + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (19161).

2³⁸³²¹ is an apocalyptic number.

It is an amenable number.

38321 is a deficient number, since it is larger than the sum of its proper divisors (1).

38321 is an equidigital number, since it uses as much as digits as its factorization.

38321 is an evil number, because the sum of its binary digits is even.

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

The square root of 38321 is about 195.7575030491. The cubic root of 38321 is about 33.7141549016.

It can be divided in two parts, 383 and 21, that added together give a palindrome (404).

The spelling of 38321 in words is "thirty-eight thousand, three hundred twenty-one".