338838833 has 2 divisors, whose sum is σ = 338838834. Its totient is φ = 338838832.

The previous prime is 338838793. The next prime is 338838847.

It is a happy number.

338838833 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179372449 + 159466384 = 13393^2 + 12628^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 338838833 - 2⁶ = 338838769 is a prime.

It is a super-2 number, since 2×338838833² = 229623509497603778, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (338838733) 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 as a sum of consecutive naturals, namely, 169419416 + 169419417.

It is an arithmetic number, because the mean of its divisors is an integer number (169419417).

Almost surely, 2^338838833 is an apocalyptic number.

It is an amenable number.

338838833 is a deficient number, since it is larger than the sum of its proper divisors (1).

338838833 is an equidigital number, since it uses as much as digits as its factorization.

338838833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 995328, while the sum is 47.

The square root of 338838833 is about 18407.5754242649. The cubic root of 338838833 is about 697.1577492128.

The spelling of 338838833 in words is "three hundred thirty-eight million, eight hundred thirty-eight thousand, eight hundred thirty-three".