338309 has 2 divisors, whose sum is σ = 338310. Its totient is φ = 338308.

The previous prime is 338297. The next prime is 338321. The reversal of 338309 is 903833.

It is a balanced prime because it is at equal distance from previous prime (338297) and next prime (338321).

It can be written as a sum of positive squares in only one way, i.e., 334084 + 4225 = 578^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 338309 - 2⁴ = 338293 is a prime.

It is a super-2 number, since 2×338309² = 228905958962, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169154 + 169155.

It is an arithmetic number, because the mean of its divisors is an integer number (169155).

2³³⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

338309 is a deficient number, since it is larger than the sum of its proper divisors (1).

338309 is an equidigital number, since it uses as much as digits as its factorization.

338309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 338309 is about 581.6433615198. The cubic root of 338309 is about 69.6794184157.

The spelling of 338309 in words is "three hundred thirty-eight thousand, three hundred nine".