205871 has 8 divisors (see below), whose sum is σ = 220800. Its totient is φ = 191520.

The previous prime is 205847. The next prime is 205879. The reversal of 205871 is 178502.

205871 = 66² + 67² + ... + 96².

205871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205871.

It is not an unprimeable number, because it can be changed into a prime (205879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (27600).

2²⁰⁵⁸⁷¹ is an apocalyptic number.

205871 is a deficient number, since it is larger than the sum of its proper divisors (14929).

205871 is a wasteful number, since it uses less digits than its factorization.

205871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 205871 is about 453.7300959822. The cubic root of 205871 is about 59.0470753278.

The spelling of 205871 in words is "two hundred five thousand, eight hundred seventy-one".