338833 has 4 divisors (see below), whose sum is σ = 369648. Its totient is φ = 308020.

The previous prime is 338803. The next prime is 338839.

338833 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 338833 - 2⁹ = 338321 is a prime.

It is a super-2 number, since 2×338833² = 229615603778, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (338839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15391 + ... + 15412.

It is an arithmetic number, because the mean of its divisors is an integer number (92412).

2³³⁸⁸³³ is an apocalyptic number.

It is an amenable number.

338833 is a deficient number, since it is larger than the sum of its proper divisors (30815).

338833 is a wasteful number, since it uses less digits than its factorization.

338833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30814.

The product of its digits is 5184, while the sum is 28.

The square root of 338833 is about 582.0936350794. The cubic root of 338833 is about 69.7153748742.

The spelling of 338833 in words is "three hundred thirty-eight thousand, eight hundred thirty-three".