205605041 has 16 divisors (see below), whose sum is σ = 221000400. Its totient is φ = 190891008.

The previous prime is 205605031. The next prime is 205605077. The reversal of 205605041 is 140506502.

It can be written as a sum of positive squares in 8 ways, for example, as 6682225 + 198922816 = 2585^2 + 14104^2 .

It is a cyclic number.

It is not a de Polignac number, because 205605041 - 2¹⁰ = 205604017 is a prime.

It is a super-2 number, since 2×205605041² = 84546865769223362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205604998 and 205605016.

It is not an unprimeable number, because it can be changed into a prime (205605031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94421 + ... + 96573.

It is an arithmetic number, because the mean of its divisors is an integer number (13812525).

Almost surely, 2^205605041 is an apocalyptic number.

It is an amenable number.

205605041 is a deficient number, since it is larger than the sum of its proper divisors (15395359).

205605041 is a wasteful number, since it uses less digits than its factorization.

205605041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205605041 is about 14338.9344443721. The cubic root of 205605041 is about 590.2163728080.

The spelling of 205605041 in words is "two hundred five million, six hundred five thousand, forty-one".