338933 has 6 divisors (see below), whose sum is σ = 394326. Its totient is φ = 290472.

The previous prime is 338927. The next prime is 338959. The reversal of 338933 is 339833.

It can be written as a sum of positive squares in only one way, i.e., 305809 + 33124 = 553^2 + 182^2 .

It is not a de Polignac number, because 338933 - 2¹⁴ = 322549 is a prime.

It is a super-3 number, since 3×338933³ = 116805373332036711, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338896 and 338905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3410 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (65721).

2³³⁸⁹³³ is an apocalyptic number.

It is an amenable number.

338933 is a deficient number, since it is larger than the sum of its proper divisors (55393).

338933 is an equidigital number, since it uses as much as digits as its factorization.

338933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6924 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The square root of 338933 is about 582.1795255761. The cubic root of 338933 is about 69.7222325807.

Subtracting 338933 from its reverse (339833), we obtain a square (900 = 30²).

The spelling of 338933 in words is "three hundred thirty-eight thousand, nine hundred thirty-three".