338265 has 12 divisors (see below), whose sum is σ = 586404. Its totient is φ = 180384.

The previous prime is 338263. The next prime is 338267. The reversal of 338265 is 562833.

It is an interprime number because it is at equal distance from previous prime (338263) and next prime (338267).

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 104976 = 483^2 + 324^2 .

It is not a de Polignac number, because 338265 - 2¹ = 338263 is a prime.

It is a super-2 number, since 2×338265² = 228846420450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3³ + 3¹⁰ + 2¹⁴ + 8⁶ + 6² + 5⁴ .

It is not an unprimeable number, because it can be changed into a prime (338263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3714 + ... + 3803.

It is an arithmetic number, because the mean of its divisors is an integer number (48867).

2³³⁸²⁶⁵ is an apocalyptic number.

It is an amenable number.

338265 is a deficient number, since it is larger than the sum of its proper divisors (248139).

338265 is a wasteful number, since it uses less digits than its factorization.

338265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7525 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 338265 is about 581.6055364248. The cubic root of 338265 is about 69.6763974819.

The spelling of 338265 in words is "three hundred thirty-eight thousand, two hundred sixty-five".