205944225 has 24 divisors (see below), whose sum is σ = 352239360. Its totient is φ = 106048320.

The previous prime is 205944209. The next prime is 205944227. The reversal of 205944225 is 522449502.

It is not a de Polignac number, because 205944225 - 2⁴ = 205944209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205944227) 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 23 ways as a sum of consecutive naturals, for example, 45169 + ... + 49518.

It is an arithmetic number, because the mean of its divisors is an integer number (14676640).

Almost surely, 2^205944225 is an apocalyptic number.

205944225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205944225 is a deficient number, since it is larger than the sum of its proper divisors (146295135).

205944225 is a wasteful number, since it uses less digits than its factorization.

205944225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94729 (or 94724 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 205944225 is about 14350.7569486770. The cubic root of 205944225 is about 590.5407519596.

The spelling of 205944225 in words is "two hundred five million, nine hundred forty-four thousand, two hundred twenty-five".