205355541 has 16 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 135696960.

The previous prime is 205355531. The next prime is 205355543. The reversal of 205355541 is 145553502.

It is a happy number.

It is not a de Polignac number, because 205355541 - 2⁵ = 205355509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205355499 and 205355508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205355543) 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, 276016 + ... + 276758.

It is an arithmetic number, because the mean of its divisors is an integer number (17264520).

Almost surely, 2^205355541 is an apocalyptic number.

It is an amenable number.

205355541 is a deficient number, since it is larger than the sum of its proper divisors (70876779).

205355541 is a wasteful number, since it uses less digits than its factorization.

205355541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 205355541 is about 14330.2317148049. The cubic root of 205355541 is about 589.9775352933.

It can be divided in two parts, 205 and 355541, that added together give a triangular number (355746 = T₈₄₃).

The spelling of 205355541 in words is "two hundred five million, three hundred fifty-five thousand, five hundred forty-one".