205881 has 8 divisors (see below), whose sum is σ = 295680. Its totient is φ = 126672.

The previous prime is 205879. The next prime is 205883. The reversal of 205881 is 188502.

It is an interprime number because it is at equal distance from previous prime (205879) and next prime (205883).

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

It is not a de Polignac number, because 205881 - 2¹ = 205879 is a prime.

It is a super-2 number, since 2×205881² = 84773972322, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205881.

It is not an unprimeable number, because it can be changed into a prime (205883) 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, 2601 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2²⁰⁵⁸⁸¹ is an apocalyptic number.

It is an amenable number.

205881 is a deficient number, since it is larger than the sum of its proper divisors (89799).

205881 is a wasteful number, since it uses less digits than its factorization.

205881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 205881 is about 453.7411156155. The cubic root of 205881 is about 59.0480313653.

The spelling of 205881 in words is "two hundred five thousand, eight hundred eighty-one".