205743025 has 12 divisors (see below), whose sum is σ = 255703500. Its totient is φ = 164218880.

The previous prime is 205743011. The next prime is 205743037. The reversal of 205743025 is 520347502.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 204175521 = 1252^2 + 14289^2 .

It is not a de Polignac number, because 205743025 - 2⁷ = 205742897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205742984 and 205743002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2061 + ... + 20389.

It is an arithmetic number, because the mean of its divisors is an integer number (21308625).

Almost surely, 2^205743025 is an apocalyptic number.

205743025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205743025 is a deficient number, since it is larger than the sum of its proper divisors (49960475).

205743025 is a wasteful number, since it uses less digits than its factorization.

205743025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788 (or 18783 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 205743025 is about 14343.7451525046. The cubic root of 205743025 is about 590.3483770362.

The spelling of 205743025 in words is "two hundred five million, seven hundred forty-three thousand, twenty-five".