338205933 has 12 divisors (see below), whose sum is σ = 526098300. Its totient is φ = 208126656.

The previous prime is 338205913. The next prime is 338205941. The reversal of 338205933 is 339502833.

It can be written as a sum of positive squares in 2 ways, for example, as 17867529 + 320338404 = 4227^2 + 17898^2 .

It is not a de Polignac number, because 338205933 - 2⁸ = 338205677 is a prime.

It is a super-2 number, since 2×338205933² = 228766506232800978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338205913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1445208 + ... + 1445441.

It is an arithmetic number, because the mean of its divisors is an integer number (43841525).

Almost surely, 2^338205933 is an apocalyptic number.

It is an amenable number.

338205933 is a deficient number, since it is larger than the sum of its proper divisors (187892367).

338205933 is a wasteful number, since it uses less digits than its factorization.

338205933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890668 (or 2890665 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 338205933 is about 18390.3760972961. The cubic root of 338205933 is about 696.7234167222.

The spelling of 338205933 in words is "three hundred thirty-eight million, two hundred five thousand, nine hundred thirty-three".