204824129 has 8 divisors (see below), whose sum is σ = 212184360. Its totient is φ = 197483776.

The previous prime is 204824111. The next prime is 204824149. The reversal of 204824129 is 921428402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8179600 + 196644529 = 2860^2 + 14023^2 .

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 204824129 - 2⁸ = 204823873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204824095 and 204824104.

It is not an unprimeable number, because it can be changed into a prime (204824149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17849 + ... + 26985.

It is an arithmetic number, because the mean of its divisors is an integer number (26523045).

Almost surely, 2^204824129 is an apocalyptic number.

204824129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

204824129 is a deficient number, since it is larger than the sum of its proper divisors (7360231).

204824129 is an equidigital number, since it uses as much as digits as its factorization.

204824129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 204824129 is about 14311.6780637352. The cubic root of 204824129 is about 589.4681878307.

The spelling of 204824129 in words is "two hundred four million, eight hundred twenty-four thousand, one hundred twenty-nine".