205824 has 44 divisors (see below), whose sum is σ = 556784. Its totient is φ = 67584.

The previous prime is 205823. The next prime is 205837. The reversal of 205824 is 428502.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 205824.

It is not an unprimeable number, because it can be changed into a prime (205823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3039 + ... + 3105.

205824 is a Friedman number, since it can be written as 402*8^(5-2), using all its digits and the basic arithmetic operations.

2²⁰⁵⁸²⁴ is an apocalyptic number.

205824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278392).

205824 is an abundant number, since it is smaller than the sum of its proper divisors (350960).

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

205824 is an equidigital number, since it uses as much as digits as its factorization.

205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205824 is about 453.6783001203. The cubic root of 205824 is about 59.0425815368.

It can be divided in two parts, 20582 and 4, that multiplied together give a palindrome (82328).

The spelling of 205824 in words is "two hundred five thousand, eight hundred twenty-four".