338806 has 16 divisors (see below), whose sum is σ = 557424. Its totient is φ = 153504.

The previous prime is 338803. The next prime is 338839. The reversal of 338806 is 608833.

It is a super-2 number, since 2×338806² = 229579011272, which contains 22 as substring.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338803) 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 7 ways as a sum of consecutive naturals, for example, 2080 + ... + 2236.

It is an arithmetic number, because the mean of its divisors is an integer number (34839).

2³³⁸⁸⁰⁶ is an apocalyptic number.

338806 is a deficient number, since it is larger than the sum of its proper divisors (218618).

338806 is a wasteful number, since it uses less digits than its factorization.

338806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 338806 is about 582.0704424724. The cubic root of 338806 is about 69.7135230621.

It can be divided in two parts, 3 and 38806, that added together give a square (38809 = 197²).

The spelling of 338806 in words is "three hundred thirty-eight thousand, eight hundred six".