2005205 has 8 divisors (see below), whose sum is σ = 2489400. Its totient is φ = 1548736.

The previous prime is 2005193. The next prime is 2005207. The reversal of 2005205 is 5025002.

It can be written as a sum of positive squares in 4 ways, for example, as 39601 + 1965604 = 199^2 + 1402^2 .

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 2005205 - 2⁴ = 2005189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005207) 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, 6770 + ... + 7059.

It is an arithmetic number, because the mean of its divisors is an integer number (311175).

2^2005205 is an apocalyptic number.

It is an amenable number.

2005205 is a deficient number, since it is larger than the sum of its proper divisors (484195).

2005205 is a wasteful number, since it uses less digits than its factorization.

2005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13863.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2005205 is about 1416.0526120169. The cubic root of 2005205 is about 126.1013084613.

The spelling of 2005205 in words is "two million, five thousand, two hundred five".