2205759 has 16 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 1410240.

The previous prime is 2205719. The next prime is 2205761. The reversal of 2205759 is 9575022.

It is a happy number.

2205759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2205759 - 2⁸ = 2205503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205719) by changing a digit.

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, 9604 + ... + 9830.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

2^2205759 is an apocalyptic number.

2205759 is a deficient number, since it is larger than the sum of its proper divisors (858561).

2205759 is a wasteful number, since it uses less digits than its factorization.

2205759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2205759 is about 1485.1797870965. The cubic root of 2205759 is about 130.1725322601.

It can be divided in two parts, 2 and 205759, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 2205759 in words is "two million, two hundred five thousand, seven hundred fifty-nine".