338065 has 16 divisors (see below), whose sum is σ = 499968. Its totient is φ = 213696.

The previous prime is 338033. The next prime is 338119. The reversal of 338065 is 560833.

338065 = 10² + 11² + ... + 100².

338065 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 338065 - 2⁵ = 338033 is a prime.

It is a super-2 number, since 2×338065² = 228575888450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2³³⁸⁰⁶⁵ is an apocalyptic number.

338065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338065 is a deficient number, since it is larger than the sum of its proper divisors (161903).

338065 is a wasteful number, since it uses less digits than its factorization.

338065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 338065 is about 581.4335731621. The cubic root of 338065 is about 69.6626626617.

Adding to 338065 its reverse (560833), we get a palindrome (898898).

The spelling of 338065 in words is "three hundred thirty-eight thousand, sixty-five".