38205 has 16 divisors (see below), whose sum is σ = 68160. Its totient is φ = 20304.

The previous prime is 38201. The next prime is 38219. The reversal of 38205 is 50283.

38205 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 38205 - 2² = 38201 is a prime.

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 38205.

It is not an unprimeable number, because it can be changed into a prime (38201) 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, 7 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (4260).

2³⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

38205 is a deficient number, since it is larger than the sum of its proper divisors (29955).

38205 is a wasteful number, since it uses less digits than its factorization.

38205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 38205 is about 195.4609935511. The cubic root of 38205 is about 33.6801022522.

Adding to 38205 its reverse (50283), we get a palindrome (88488).

It can be divided in two parts, 38 and 205, that added together give a 5-th power (243 = 3⁵).

The spelling of 38205 in words is "thirty-eight thousand, two hundred five".