205056 has 54 divisors (see below), whose sum is σ = 597870. Its totient is φ = 67584.

The previous prime is 205043. The next prime is 205063. The reversal of 205056 is 650502.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 57600 = 384^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

205056 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 5 ways as a sum of consecutive naturals, for example, 2260 + ... + 2348.

2²⁰⁵⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298935).

205056 is an abundant number, since it is smaller than the sum of its proper divisors (392814).

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

205056 is an equidigital number, since it uses as much as digits as its factorization.

205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205056 is about 452.8310943387. The cubic root of 205056 is about 58.9690539619.

Adding to 205056 its reverse (650502), we get a palindrome (855558).

The spelling of 205056 in words is "two hundred five thousand, fifty-six".