205806041 has 16 divisors (see below), whose sum is σ = 242457600. Its totient is φ = 171028368.

The previous prime is 205806037. The next prime is 205806077. The reversal of 205806041 is 140608502.

It is not a de Polignac number, because 205806041 - 2² = 205806037 is a prime.

It is a super-2 number, since 2×205806041² = 84712253024187362, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205806041.

It is not an unprimeable number, because it can be changed into a prime (205806941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39380 + ... + 44298.

It is an arithmetic number, because the mean of its divisors is an integer number (15153600).

Almost surely, 2^205806041 is an apocalyptic number.

It is an amenable number.

205806041 is a deficient number, since it is larger than the sum of its proper divisors (36651559).

205806041 is a wasteful number, since it uses less digits than its factorization.

205806041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 205806041 is about 14345.9416212391. The cubic root of 205806041 is about 590.4086424991.

The spelling of 205806041 in words is "two hundred five million, eight hundred six thousand, forty-one".