205955 has 8 divisors (see below), whose sum is σ = 261792. Its totient is φ = 155008.

The previous prime is 205951. The next prime is 205957. The reversal of 205955 is 559502.

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

It is a cyclic number.

It is not a de Polignac number, because 205955 - 2² = 205951 is a prime.

It is a Duffinian 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, 1127 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (32724).

2²⁰⁵⁹⁵⁵ is an apocalyptic number.

205955 is a deficient number, since it is larger than the sum of its proper divisors (55837).

205955 is a wasteful number, since it uses less digits than its factorization.

205955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 205955 is about 453.8226525858. The cubic root of 205955 is about 59.0551050809.

The spelling of 205955 in words is "two hundred five thousand, nine hundred fifty-five".