338906 has 8 divisors (see below), whose sum is σ = 520884. Its totient is φ = 165280.

The previous prime is 338893. The next prime is 338909. The reversal of 338906 is 609833.

It can be written as a sum of positive squares in 2 ways, for example, as 330625 + 8281 = 575^2 + 91^2 .

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

It is a super-2 number, since 2×338906² = 229714553672, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338909) 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 3 ways as a sum of consecutive naturals, for example, 1985 + ... + 2148.

2³³⁸⁹⁰⁶ is an apocalyptic number.

338906 is a deficient number, since it is larger than the sum of its proper divisors (181978).

338906 is a wasteful number, since it uses less digits than its factorization.

338906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 338906 is about 582.1563363908. The cubic root of 338906 is about 69.7203811329.

The spelling of 338906 in words is "three hundred thirty-eight thousand, nine hundred six".