205761241 has 16 divisors (see below), whose sum is σ = 252592000. Its totient is φ = 167079024.

The previous prime is 205761223. The next prime is 205761313. The reversal of 205761241 is 142167502.

205761241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205761241 - 2⁹ = 205760729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205761041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 22303.

It is an arithmetic number, because the mean of its divisors is an integer number (15787000).

Almost surely, 2^205761241 is an apocalyptic number.

It is an amenable number.

205761241 is a deficient number, since it is larger than the sum of its proper divisors (46830759).

205761241 is an equidigital number, since it uses as much as digits as its factorization.

205761241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31613 (or 31599 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 205761241 is about 14344.3801190571. The cubic root of 205761241 is about 590.3657992043.

The spelling of 205761241 in words is "two hundred five million, seven hundred sixty-one thousand, two hundred forty-one".