338105 has 8 divisors (see below), whose sum is σ = 427200. Its totient is φ = 256176.

The previous prime is 338033. The next prime is 338119. The reversal of 338105 is 501833.

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

It is a cyclic number.

It is not a de Polignac number, because 338105 - 2¹⁰ = 337081 is a prime.

It is a super-2 number, since 2×338105² = 228629982050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (53400).

2³³⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

338105 is a deficient number, since it is larger than the sum of its proper divisors (89095).

338105 is a wasteful number, since it uses less digits than its factorization.

338105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 338105 is about 581.4679698831. The cubic root of 338105 is about 69.6654100590.

Adding to 338105 its reverse (501833), we get a palindrome (839938).

The spelling of 338105 in words is "three hundred thirty-eight thousand, one hundred five".