204824 has 8 divisors (see below), whose sum is σ = 384060. Its totient is φ = 102408.

The previous prime is 204821. The next prime is 204857. The reversal of 204824 is 428402.

204824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2¹³ + 0 + 8 + 4² + 2¹⁷ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 204796 and 204805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12794 + ... + 12809.

2²⁰⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

204824 is a deficient number, since it is larger than the sum of its proper divisors (179236).

204824 is a wasteful number, since it uses less digits than its factorization.

204824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25609 (or 25605 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 204824 is about 452.5748556869. The cubic root of 204824 is about 58.9468064080.

The spelling of 204824 in words is "two hundred four thousand, eight hundred twenty-four".