338221 has 4 divisors (see below), whose sum is σ = 364252. Its totient is φ = 312192.

The previous prime is 338213. The next prime is 338231. The reversal of 338221 is 122833.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 148996 + 189225 = 386^2 + 435^2 .

It is a cyclic number.

It is not a de Polignac number, because 338221 - 2³ = 338213 is a prime.

It is a super-2 number, since 2×338221² = 228786889682, which contains 22 as substring.

It is a Duffinian number.

338221 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338231) 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, 12996 + ... + 13021.

It is an arithmetic number, because the mean of its divisors is an integer number (91063).

2³³⁸²²¹ is an apocalyptic number.

It is an amenable number.

338221 is a deficient number, since it is larger than the sum of its proper divisors (26031).

338221 is a wasteful number, since it uses less digits than its factorization.

338221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26030.

The product of its digits is 288, while the sum is 19.

The square root of 338221 is about 581.5677088697. The cubic root of 338221 is about 69.6733762860.

It can be divided in two parts, 3382 and 21, that added together give a triangular number (3403 = T₈₂).

The spelling of 338221 in words is "three hundred thirty-eight thousand, two hundred twenty-one".