338031 has 18 divisors (see below), whose sum is σ = 517608. Its totient is φ = 212520.

The previous prime is 338027. The next prime is 338033. The reversal of 338031 is 130833.

338031 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 338031 - 2² = 338027 is a prime.

It is a super-2 number, since 2×338031² = 228529913922, which contains 22 as substring.

338031 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 337995 and 338013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338031.

It is not an unprimeable number, because it can be changed into a prime (338033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4726 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (28756).

2³³⁸⁰³¹ is an apocalyptic number.

338031 is a deficient number, since it is larger than the sum of its proper divisors (179577).

338031 is a wasteful number, since it uses less digits than its factorization.

338031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

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

The square root of 338031 is about 581.4043343492. The cubic root of 338031 is about 69.6603272036.

Adding to 338031 its reverse (130833), we get a palindrome (468864).

The spelling of 338031 in words is "three hundred thirty-eight thousand, thirty-one".