338213 has 2 divisors, whose sum is σ = 338214. Its totient is φ = 338212.

The previous prime is 338207. The next prime is 338231. The reversal of 338213 is 312833.

338213 is nontrivially palindromic in base 16.

Together with next prime (338231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 91204 = 497^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 338213 - 2⁴ = 338197 is a prime.

It is a super-2 number, since 2×338213² = 228776066738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169106 + 169107.

It is an arithmetic number, because the mean of its divisors is an integer number (169107).

2³³⁸²¹³ is an apocalyptic number.

It is an amenable number.

338213 is a deficient number, since it is larger than the sum of its proper divisors (1).

338213 is an equidigital number, since it uses as much as digits as its factorization.

338213 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 338213 is about 581.5608308681. The cubic root of 338213 is about 69.6728269495.

The spelling of 338213 in words is "three hundred thirty-eight thousand, two hundred thirteen".