2205165705 has 16 divisors (see below), whose sum is σ = 3531120000. Its totient is φ = 1175136768.

The previous prime is 2205165673. The next prime is 2205165737. The reversal of 2205165705 is 5075615022.

It is an interprime number because it is at equal distance from previous prime (2205165673) and next prime (2205165737).

It is not a de Polignac number, because 2205165705 - 2⁵ = 2205165673 is a prime.

It is a super-3 number, since 3×2205165705³ (a number of 29 digits) contains 333 as substring.

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, 40117 + ... + 77586.

It is an arithmetic number, because the mean of its divisors is an integer number (220695000).

Almost surely, 2^2205165705 is an apocalyptic number.

It is an amenable number.

2205165705 is a deficient number, since it is larger than the sum of its proper divisors (1325954295).

2205165705 is a wasteful number, since it uses less digits than its factorization.

2205165705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118960.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 2205165705 is about 46959.1919117014. The cubic root of 2205165705 is about 1301.6086014208.

It can be divided in two parts, 2205 and 165705, that added together give a triangular number (167910 = T₅₇₉).

The spelling of 2205165705 in words is "two billion, two hundred five million, one hundred sixty-five thousand, seven hundred five".