338385 has 16 divisors (see below), whose sum is σ = 573696. Its totient is φ = 169728.

The previous prime is 338383. The next prime is 338389. The reversal of 338385 is 583833.

338385 = 133² + 134² + ... + 149².

It is not a de Polignac number, because 338385 - 2¹ = 338383 is a prime.

It is a super-2 number, since 2×338385² = 229008816450, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338385.

It is not an unprimeable number, because it can be changed into a prime (338383) 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, 409 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (35856).

2³³⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

338385 is a deficient number, since it is larger than the sum of its proper divisors (235311).

338385 is a wasteful number, since it uses less digits than its factorization.

338385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352.

The product of its digits is 8640, while the sum is 30.

The square root of 338385 is about 581.7086899815. The cubic root of 338385 is about 69.6846357755.

The spelling of 338385 in words is "three hundred thirty-eight thousand, three hundred eighty-five".