338083329 has 16 divisors (see below), whose sum is σ = 464226752. Its totient is φ = 218731968.

The previous prime is 338083313. The next prime is 338083337. The reversal of 338083329 is 923380833.

It is not a de Polignac number, because 338083329 - 2⁴ = 338083313 is a prime.

It is a super-2 number, since 2×338083329² = 228600674695444482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338083309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11907 + ... + 28599.

It is an arithmetic number, because the mean of its divisors is an integer number (29014172).

Almost surely, 2^338083329 is an apocalyptic number.

It is an amenable number.

338083329 is a deficient number, since it is larger than the sum of its proper divisors (126143423).

338083329 is a wasteful number, since it uses less digits than its factorization.

338083329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16896.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 338083329 is about 18387.0424212270. The cubic root of 338083329 is about 696.6392161473.

The spelling of 338083329 in words is "three hundred thirty-eight million, eighty-three thousand, three hundred twenty-nine".