338305 has 8 divisors (see below), whose sum is σ = 442944. Its totient is φ = 246000.

The previous prime is 338297. The next prime is 338309. The reversal of 338305 is 503833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338305 - 2³ = 338297 is a prime.

It is a super-2 number, since 2×338305² = 228900546050, which contains 22 as substring.

It is a Duffinian 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3021 + ... + 3130.

It is an arithmetic number, because the mean of its divisors is an integer number (55368).

2³³⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

338305 is a deficient number, since it is larger than the sum of its proper divisors (104639).

338305 is a wasteful number, since it uses less digits than its factorization.

338305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 338305 is about 581.6399229764. The cubic root of 338305 is about 69.6791437962.

It can be divided in two parts, 33 and 8305, that added together give a palindrome (8338).

The spelling of 338305 in words is "three hundred thirty-eight thousand, three hundred five".