338321 has 2 divisors, whose sum is σ = 338322. Its totient is φ = 338320.

The previous prime is 338309. The next prime is 338323. The reversal of 338321 is 123833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190096 + 148225 = 436^2 + 385^2 .

It is an emirp because it is prime and its reverse (123833) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338321 is a prime.

It is a super-4 number, since 4×338321⁴ (a number of 23 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 338323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 338293 and 338302.

It is not a weakly prime, because it can be changed into another prime (338323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169160 + 169161.

It is an arithmetic number, because the mean of its divisors is an integer number (169161).

2³³⁸³²¹ is an apocalyptic number.

It is an amenable number.

338321 is a deficient number, since it is larger than the sum of its proper divisors (1).

338321 is an equidigital number, since it uses as much as digits as its factorization.

338321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 338321 is about 581.6536770278. The cubic root of 338321 is about 69.6802422613.

It can be divided in two parts, 33832 and 1, that added together give a palindrome (33833).

The spelling of 338321 in words is "three hundred thirty-eight thousand, three hundred twenty-one".