338805 has 12 divisors (see below), whose sum is σ = 587340. Its totient is φ = 180672.

The previous prime is 338803. The next prime is 338839. The reversal of 338805 is 508833.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 221841 = 342^2 + 471^2 .

It is not a de Polignac number, because 338805 - 2¹ = 338803 is a prime.

It is a super-2 number, since 2×338805² = 229577656050, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3720 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (48945).

2³³⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

338805 is a deficient number, since it is larger than the sum of its proper divisors (248535).

338805 is a wasteful number, since it uses less digits than its factorization.

338805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 338805 is about 582.0695834692. The cubic root of 338805 is about 69.7134544746.

The spelling of 338805 in words is "three hundred thirty-eight thousand, eight hundred five".