205344125 has 32 divisors (see below), whose sum is σ = 294178560. Its totient is φ = 140184000.

The previous prime is 205344107. The next prime is 205344137. The reversal of 205344125 is 521443502.

It is a happy number.

It is not a de Polignac number, because 205344125 - 2⁸ = 205343869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205344094 and 205344103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289271 + ... + 289979.

It is an arithmetic number, because the mean of its divisors is an integer number (9193080).

Almost surely, 2^205344125 is an apocalyptic number.

205344125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205344125 is a deficient number, since it is larger than the sum of its proper divisors (88834435).

205344125 is an equidigital number, since it uses as much as digits as its factorization.

205344125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 205344125 is about 14329.8333905178. The cubic root of 205344125 is about 589.9666025336.

Adding to 205344125 its reverse (521443502), we get a palindrome (726787627).

The spelling of 205344125 in words is "two hundred five million, three hundred forty-four thousand, one hundred twenty-five".