205741 has 4 divisors (see below), whose sum is σ = 206752. Its totient is φ = 204732.

The previous prime is 205721. The next prime is 205759. The reversal of 205741 is 147502.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 147502 = 2 ⋅73751.

It is a cyclic number.

It is not a de Polignac number, because 205741 - 2¹⁵ = 172973 is a prime.

It is a Duffinian number.

205741 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (51688).

2²⁰⁵⁷⁴¹ is an apocalyptic number.

It is an amenable number.

205741 is a deficient number, since it is larger than the sum of its proper divisors (1011).

205741 is an equidigital number, since it uses as much as digits as its factorization.

205741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 205741 is about 453.5868163869. The cubic root of 205741 is about 59.0346440220.

It can be divided in two parts, 205 and 741, that added together give a triangular number (946 = T₄₃).

The spelling of 205741 in words is "two hundred five thousand, seven hundred forty-one".