205765641 has 6 divisors (see below), whose sum is σ = 297217050. Its totient is φ = 137177088.

The previous prime is 205765639. The next prime is 205765657. The reversal of 205765641 is 146567502.

It is a happy number.

205765641 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 6 + 5 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191020041 + 14745600 = 13821^2 + 3840^2 .

It is not a de Polignac number, because 205765641 - 2¹ = 205765639 is a prime.

It is a super-2 number, since 2×205765641² = 84678998032281762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205765596 and 205765605.

It is not an unprimeable number, because it can be changed into a prime (205765661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11431416 + ... + 11431433.

It is an arithmetic number, because the mean of its divisors is an integer number (49536175).

Almost surely, 2^205765641 is an apocalyptic number.

It is an amenable number.

205765641 is a deficient number, since it is larger than the sum of its proper divisors (91451409).

205765641 is a wasteful number, since it uses less digits than its factorization.

205765641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22862855 (or 22862852 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 205765641 is about 14344.5334884060. The cubic root of 205765641 is about 590.3700073032.

The spelling of 205765641 in words is "two hundred five million, seven hundred sixty-five thousand, six hundred forty-one".