338106 has 16 divisors (see below), whose sum is σ = 694944. Its totient is φ = 109584.

The previous prime is 338033. The next prime is 338119. The reversal of 338106 is 601833.

338106 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×338106² = 228631334472, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338106.

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, 540 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

2³³⁸¹⁰⁶ is an apocalyptic number.

338106 is an abundant number, since it is smaller than the sum of its proper divisors (356838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338106 is a wasteful number, since it uses less digits than its factorization.

338106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 338106 is about 581.4688297751. The cubic root of 338106 is about 69.6654787412.

Adding to 338106 its reverse (601833), we get a palindrome (939939).

It can be divided in two parts, 338 and 106, that added together give a palindrome (444).

The spelling of 338106 in words is "three hundred thirty-eight thousand, one hundred six".