205743261 has 8 divisors (see below), whose sum is σ = 280704160. Its totient is φ = 133972272.

The previous prime is 205743253. The next prime is 205743269. The reversal of 205743261 is 162347502.

It is an interprime number because it is at equal distance from previous prime (205743253) and next prime (205743269).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205743261 - 2³ = 205743253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205743269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797326 + ... + 797583.

It is an arithmetic number, because the mean of its divisors is an integer number (35088020).

Almost surely, 2^205743261 is an apocalyptic number.

It is an amenable number.

205743261 is a deficient number, since it is larger than the sum of its proper divisors (74960899).

205743261 is a wasteful number, since it uses less digits than its factorization.

205743261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594955.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 205743261 is about 14343.7533790846. The cubic root of 205743261 is about 590.3486027582.

The spelling of 205743261 in words is "two hundred five million, seven hundred forty-three thousand, two hundred sixty-one".