338989833 has 48 divisors (see below), whose sum is σ = 621555840. Its totient is φ = 178790976.

The previous prime is 338989831. The next prime is 338989907.

338989833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 338989833 - 2¹ = 338989831 is a prime.

It is a super-2 number, since 2×338989833² = 229828213754735778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338989833.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338989831) 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 47 ways as a sum of consecutive naturals, for example, 26635 + ... + 37247.

It is an arithmetic number, because the mean of its divisors is an integer number (12949080).

Almost surely, 2^338989833 is an apocalyptic number.

It is an amenable number.

338989833 is a deficient number, since it is larger than the sum of its proper divisors (282566007).

338989833 is a wasteful number, since it uses less digits than its factorization.

338989833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10636 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 338989833 is about 18411.6765396310. The cubic root of 338989833 is about 697.2612941985.

The spelling of 338989833 in words is "three hundred thirty-eight million, nine hundred eighty-nine thousand, eight hundred thirty-three".