338933133 has 32 divisors (see below), whose sum is σ = 626027520. Its totient is φ = 176068080.

The previous prime is 338933117. The next prime is 338933143. The reversal of 338933133 is 331339833.

338933133 is a `hidden beast` number, since 338 + 9 + 3 + 313 + 3 = 666.

It is not a de Polignac number, because 338933133 - 2⁴ = 338933117 is a prime.

It is a super-2 number, since 2×338933133² = 229751337290391378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338933143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79435 + ... + 83592.

It is an arithmetic number, because the mean of its divisors is an integer number (19563360).

Almost surely, 2^338933133 is an apocalyptic number.

338933133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338933133 is a deficient number, since it is larger than the sum of its proper divisors (287094387).

338933133 is a wasteful number, since it uses less digits than its factorization.

338933133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163054 (or 163048 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 338933133 is about 18410.1366915078. The cubic root of 338933133 is about 697.2224170052. Note that the first 3 decimals are identical.

The spelling of 338933133 in words is "three hundred thirty-eight million, nine hundred thirty-three thousand, one hundred thirty-three".