205241841 has 36 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 116699184.

The previous prime is 205241807. The next prime is 205241843. The reversal of 205241841 is 148142502.

205241841 is a `hidden beast` number, since 205 + 2 + 418 + 41 = 666.

It is not a de Polignac number, because 205241841 - 2⁷ = 205241713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205241843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97300 + ... + 99386.

It is an arithmetic number, because the mean of its divisors is an integer number (9627072).

Almost surely, 2^205241841 is an apocalyptic number.

205241841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205241841 is a deficient number, since it is larger than the sum of its proper divisors (141332751).

205241841 is a wasteful number, since it uses less digits than its factorization.

205241841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205241841 is about 14326.2640280012. The cubic root of 205241841 is about 589.8686301403.

The spelling of 205241841 in words is "two hundred five million, two hundred forty-one thousand, eight hundred forty-one".