338301 has 6 divisors (see below), whose sum is σ = 488670. Its totient is φ = 225528.

The previous prime is 338297. The next prime is 338309. The reversal of 338301 is 103833.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 30276 = 555^2 + 174^2 .

It is not a de Polignac number, because 338301 - 2² = 338297 is a prime.

It is a super-2 number, since 2×338301² = 228895133202, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18786 + ... + 18803.

It is an arithmetic number, because the mean of its divisors is an integer number (81445).

2³³⁸³⁰¹ is an apocalyptic number.

It is an amenable number.

338301 is a deficient number, since it is larger than the sum of its proper divisors (150369).

338301 is a wasteful number, since it uses less digits than its factorization.

338301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37595 (or 37592 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 338301 is about 581.6364844127. The cubic root of 338301 is about 69.6788691745.

The spelling of 338301 in words is "three hundred thirty-eight thousand, three hundred one".