36205 has 8 divisors (see below), whose sum is σ = 46872. Its totient is φ = 26688.

The previous prime is 36191. The next prime is 36209. The reversal of 36205 is 50263.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 35721 = 22^2 + 189^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36205 - 2¹¹ = 34157 is a prime.

It is a Duffinian number.

36205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2³⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

36205 is a deficient number, since it is larger than the sum of its proper divisors (10667).

36205 is a wasteful number, since it uses less digits than its factorization.

36205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 36205 is about 190.2761151590. The cubic root of 36205 is about 33.0818293675.

Adding to 36205 its reverse (50263), we get a palindrome (86468).

The spelling of 36205 in words is "thirty-six thousand, two hundred five".