205962 has 8 divisors (see below), whose sum is σ = 411936. Its totient is φ = 68652.

The previous prime is 205957. The next prime is 205963. The reversal of 205962 is 269502.

It is a sphenic number, since it is the product of 3 distinct primes.

205962 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹⁶ + 0 + 9⁵ + 5⁶ + 6³ + 2¹⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205962.

It is not an unprimeable number, because it can be changed into a prime (205963) 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 3 ways as a sum of consecutive naturals, for example, 17158 + ... + 17169.

It is an arithmetic number, because the mean of its divisors is an integer number (51492).

2²⁰⁵⁹⁶² is an apocalyptic number.

205962 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205962 is a wasteful number, since it uses less digits than its factorization.

205962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34332.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 205962 is about 453.8303647840. The cubic root of 205962 is about 59.0557741284.

The spelling of 205962 in words is "two hundred five thousand, nine hundred sixty-two".