338013 has 24 divisors (see below), whose sum is σ = 550368. Its totient is φ = 206064.

The previous prime is 337999. The next prime is 338017. The reversal of 338013 is 310833.

338013 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 338013 - 2⁶ = 337949 is a prime.

It is a super-2 number, since 2×338013² = 228505576338, which contains 22 as substring.

338013 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3106 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2³³⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

338013 is a deficient number, since it is larger than the sum of its proper divisors (212355).

338013 is a wasteful number, since it uses less digits than its factorization.

338013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 338013 is about 581.3888543823. The cubic root of 338013 is about 69.6590907212.

Adding to 338013 its reverse (310833), we get a palindrome (648846).

The spelling of 338013 in words is "three hundred thirty-eight thousand, thirteen".