9205 has 8 divisors (see below), whose sum is σ = 12672. Its totient is φ = 6288.

The previous prime is 9203. The next prime is 9209. The reversal of 9205 is 5029.

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 9205 - 2¹ = 9203 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9203) 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, 97 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

2⁹²⁰⁵ is an apocalyptic number.

It is an amenable number.

9205 is a deficient number, since it is larger than the sum of its proper divisors (3467).

9205 is a wasteful number, since it uses less digits than its factorization.

9205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 9205 is about 95.9426912276. The cubic root of 9205 is about 20.9575863526.

The spelling of 9205 in words is "nine thousand, two hundred five".