8205 has 8 divisors (see below), whose sum is σ = 13152. Its totient is φ = 4368.

The previous prime is 8191. The next prime is 8209. The reversal of 8205 is 5028.

8205 = 24² + 25² + ... + 33².

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

It is not a de Polignac number, because 8205 - 2⁸ = 7949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 547 = 8205 / (8 + 2 + 0 + 5).

It is a d-powerful number, because it can be written as 8 + 0 + 2¹³ + 5 .

It is a Curzon number.

It is a plaindrome in base 9.

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 8205.

It is not an unprimeable number, because it can be changed into a prime (8209) 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, 259 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (1644).

2⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

8205 is a deficient number, since it is larger than the sum of its proper divisors (4947).

8205 is a wasteful number, since it uses less digits than its factorization.

8205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 8205 is about 90.5814550557. The cubic root of 8205 is about 20.1693945570.

The spelling of 8205 in words is "eight thousand, two hundred five".