338217 has 16 divisors (see below), whose sum is σ = 507072. Its totient is φ = 198720.

The previous prime is 338213. The next prime is 338231. The reversal of 338217 is 712833.

It is not a de Polignac number, because 338217 - 2² = 338213 is a prime.

It is a super-2 number, since 2×338217² = 228781478178, which contains 22 as substring.

338217 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338217.

It is not an unprimeable number, because it can be changed into a prime (338213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (31692).

2³³⁸²¹⁷ is an apocalyptic number.

338217 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

338217 is a deficient number, since it is larger than the sum of its proper divisors (168855).

338217 is a wasteful number, since it uses less digits than its factorization.

338217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its digits is 1008, while the sum is 24.

The square root of 338217 is about 581.5642698791. The cubic root of 338217 is about 69.6731016189.

It can be divided in two parts, 338 and 217, that added together give a palindrome (555).

The spelling of 338217 in words is "three hundred thirty-eight thousand, two hundred seventeen".