338817201 has 8 divisors (see below), whose sum is σ = 454027200. Its totient is φ = 224742672.

The previous prime is 338817187. The next prime is 338817203. The reversal of 338817201 is 102718833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338817201 - 2⁶ = 338817137 is a prime.

It is a super-2 number, since 2×338817201² = 229594191386948802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338817203) 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 7 ways as a sum of consecutive naturals, for example, 283170 + ... + 284363.

It is an arithmetic number, because the mean of its divisors is an integer number (56753400).

Almost surely, 2^338817201 is an apocalyptic number.

It is an amenable number.

338817201 is a deficient number, since it is larger than the sum of its proper divisors (115209999).

338817201 is a wasteful number, since it uses less digits than its factorization.

338817201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567735.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 338817201 is about 18406.9878307126. The cubic root of 338817201 is about 697.1429130174.

The spelling of 338817201 in words is "three hundred thirty-eight million, eight hundred seventeen thousand, two hundred one".