205931 has 8 divisors (see below), whose sum is σ = 228144. Its totient is φ = 184320.

The previous prime is 205913. The next prime is 205937. The reversal of 205931 is 139502.

205931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

205931 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a cyclic number.

It is not a de Polignac number, because 205931 - 2¹⁴ = 189547 is a prime.

It is a super-2 number, since 2×205931² = 84815153522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205937) 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, 971 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (28518).

2²⁰⁵⁹³¹ is an apocalyptic number.

205931 is a deficient number, since it is larger than the sum of its proper divisors (22213).

205931 is a wasteful number, since it uses less digits than its factorization.

205931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 205931 is about 453.7962097682. The cubic root of 205931 is about 59.0528110886.

The spelling of 205931 in words is "two hundred five thousand, nine hundred thirty-one".