205791552 has 84 divisors (see below), whose sum is σ = 599636596. Its totient is φ = 67461120.

The previous prime is 205791541. The next prime is 205791559. The reversal of 205791552 is 255197502.

205791552 is a `hidden beast` number, since 20 + 579 + 15 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 108493056 = 9864^2 + 10416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205791559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32208 + ... + 38064.

Almost surely, 2^205791552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299818298).

205791552 is an abundant number, since it is smaller than the sum of its proper divisors (393845044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205791552 is a wasteful number, since it uses less digits than its factorization.

205791552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 205791552 is about 14345.4366263282. The cubic root of 205791552 is about 590.3947870075.

The spelling of 205791552 in words is "two hundred five million, seven hundred ninety-one thousand, five hundred fifty-two".