205790625 has 72 divisors (see below), whose sum is σ = 386725248. Its totient is φ = 109350000.

The previous prime is 205790579. The next prime is 205790657. The reversal of 205790625 is 526097502.

205790625 is a `hidden beast` number, since 20 + 5 + 7 + 9 + 0 + 625 = 666.

It is not a de Polignac number, because 205790625 - 2¹⁰ = 205789601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205790625.

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 71 ways as a sum of consecutive naturals, for example, 759240 + ... + 759510.

It is an arithmetic number, because the mean of its divisors is an integer number (5371184).

Almost surely, 2^205790625 is an apocalyptic number.

205790625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205790625 is a deficient number, since it is larger than the sum of its proper divisors (180934623).

205790625 is an frugal number, since it uses more digits than its factorization.

205790625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 205790625 is about 14345.4043163656. The cubic root of 205790625 is about 590.3939005170.

The spelling of 205790625 in words is "two hundred five million, seven hundred ninety thousand, six hundred twenty-five".