338391 has 16 divisors (see below), whose sum is σ = 510720. Its totient is φ = 221400.

The previous prime is 338389. The next prime is 338407. The reversal of 338391 is 193833.

It is not a de Polignac number, because 338391 - 2¹ = 338389 is a prime.

It is a super-2 number, since 2×338391² = 229016937762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (1944) is a multiple of the sum of its prime factors (243).

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 338391.

It is not an unprimeable number, because it can be changed into a prime (338321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2³³⁸³⁹¹ is an apocalyptic number.

338391 is a deficient number, since it is larger than the sum of its proper divisors (172329).

338391 is a wasteful number, since it uses less digits than its factorization.

338391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 338391 is about 581.7138471792. The cubic root of 338391 is about 69.6850476390.

It can be divided in two parts, 338 and 391, that added together give a 6-th power (729 = 3⁶).

The spelling of 338391 in words is "three hundred thirty-eight thousand, three hundred ninety-one".