205624225 has 12 divisors (see below), whose sum is σ = 261194220. Its totient is φ = 160486400.

The previous prime is 205624217. The next prime is 205624241. The reversal of 205624225 is 522426502.

It can be written as a sum of positive squares in 6 ways, for example, as 101767744 + 103856481 = 10088^2 + 10191^2 .

It is not a de Polignac number, because 205624225 - 2³ = 205624217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205624193 and 205624202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99280 + ... + 101329.

It is an arithmetic number, because the mean of its divisors is an integer number (21766185).

Almost surely, 2^205624225 is an apocalyptic number.

205624225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205624225 is a deficient number, since it is larger than the sum of its proper divisors (55569995).

205624225 is a wasteful number, since it uses less digits than its factorization.

205624225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200660 (or 200655 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 205624225 is about 14339.6033766628. The cubic root of 205624225 is about 590.2347289708.

The spelling of 205624225 in words is "two hundred five million, six hundred twenty-four thousand, two hundred twenty-five".