205958 has 16 divisors (see below), whose sum is σ = 330480. Its totient is φ = 96096.

The previous prime is 205957. The next prime is 205963. The reversal of 205958 is 859502.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 205958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2²⁰⁵⁹⁵⁸ is an apocalyptic number.

205958 is a deficient number, since it is larger than the sum of its proper divisors (124522).

205958 is a wasteful number, since it uses less digits than its factorization.

205958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 205958 is about 453.8259578297. The cubic root of 205958 is about 59.0553918174.

The spelling of 205958 in words is "two hundred five thousand, nine hundred fifty-eight".