338133985 has 16 divisors (see below), whose sum is σ = 466163712. Its totient is φ = 230644800.

The previous prime is 338133973. The next prime is 338133989. The reversal of 338133985 is 589331833.

It is not a de Polignac number, because 338133985 - 2⁷ = 338133857 is a prime.

It is a super-2 number, since 2×338133985² = 228669183623960450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338133989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18606 + ... + 31975.

It is an arithmetic number, because the mean of its divisors is an integer number (29135232).

Almost surely, 2^338133985 is an apocalyptic number.

338133985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338133985 is a deficient number, since it is larger than the sum of its proper divisors (128029727).

338133985 is a wasteful number, since it uses less digits than its factorization.

338133985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50784.

The product of its digits is 233280, while the sum is 43.

The square root of 338133985 is about 18388.4198614237. The cubic root of 338133985 is about 696.6740075639.

The spelling of 338133985 in words is "three hundred thirty-eight million, one hundred thirty-three thousand, nine hundred eighty-five".