205946 has 12 divisors (see below), whose sum is σ = 336462. Its totient is φ = 93984.

The previous prime is 205937. The next prime is 205949. The reversal of 205946 is 649502.

205946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 75625 + 130321 = 275^2 + 361^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (205949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2270 + ... + 2358.

2²⁰⁵⁹⁴⁶ is an apocalyptic number.

205946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205946 is a deficient number, since it is larger than the sum of its proper divisors (130516).

205946 is an equidigital number, since it uses as much as digits as its factorization.

205946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205946 is about 453.8127367098. The cubic root of 205946 is about 59.0542448547.

Multiplying 205946 by its sum of digits (26), we get a square (5354596 = 2314²).

205946 divided by its sum of digits (26) gives a square (7921 = 89²).

Subtracting 205946 from its reverse (649502), we obtain a square (443556 = 666²).

The spelling of 205946 in words is "two hundred five thousand, nine hundred forty-six".