338585 has 8 divisors (see below), whose sum is σ = 437640. Its totient is φ = 249984.

The previous prime is 338581. The next prime is 338609. The reversal of 338585 is 585833.

It can be written as a sum of positive squares in 4 ways, for example, as 64009 + 274576 = 253^2 + 524^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 338585 - 2² = 338581 is a prime.

It is a super-2 number, since 2×338585² = 229279604450, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338585.

It is not an unprimeable number, because it can be changed into a prime (338581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2540 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (54705).

2³³⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

338585 is a deficient number, since it is larger than the sum of its proper divisors (99055).

338585 is a wasteful number, since it uses less digits than its factorization.

338585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227.

The product of its digits is 14400, while the sum is 32.

The square root of 338585 is about 581.8805719390. The cubic root of 338585 is about 69.6983619378.

The spelling of 338585 in words is "three hundred thirty-eight thousand, five hundred eighty-five".