338205 has 16 divisors (see below), whose sum is σ = 618624. Its totient is φ = 154560.

The previous prime is 338203. The next prime is 338207. The reversal of 338205 is 502833.

It is an interprime number because it is at equal distance from previous prime (338203) and next prime (338207).

It is not a de Polignac number, because 338205 - 2¹ = 338203 is a prime.

It is a super-2 number, since 2×338205² = 228765244050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 3 + 3¹⁰ + 2¹⁴ + 8⁶ + 0 + 5⁴ .

It is a Curzon number.

338205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338203) 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, 1506 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (38664).

2³³⁸²⁰⁵ is an apocalyptic number.

338205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338205 is a deficient number, since it is larger than the sum of its proper divisors (280419).

338205 is a wasteful number, since it uses less digits than its factorization.

338205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 338205 is about 581.5539527851. The cubic root of 338205 is about 69.6722776044.

The spelling of 338205 in words is "three hundred thirty-eight thousand, two hundred five".