2205305 has 16 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 1670592.

The previous prime is 2205293. The next prime is 2205319. The reversal of 2205305 is 5035022.

2205305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2205305 - 2¹² = 2201209 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9602 + ... + 9828.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

2^2205305 is an apocalyptic number.

It is an amenable number.

2205305 is a deficient number, since it is larger than the sum of its proper divisors (585415).

2205305 is a wasteful number, since it uses less digits than its factorization.

2205305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2205305 is about 1485.0269357826. The cubic root of 2205305 is about 130.1636007336.

The spelling of 2205305 in words is "two million, two hundred five thousand, three hundred five".