205956 has 24 divisors (see below), whose sum is σ = 534240. Its totient is φ = 68616.

The previous prime is 205951. The next prime is 205957. The reversal of 205956 is 659502.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

205956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2²⁰⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

205956 is an abundant number, since it is smaller than the sum of its proper divisors (328284).

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

205956 is a wasteful number, since it uses less digits than its factorization.

205956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 205956 is about 453.8237543364. The cubic root of 205956 is about 59.0552006600.

The spelling of 205956 in words is "two hundred five thousand, nine hundred fifty-six".