205971 has 8 divisors (see below), whose sum is σ = 278784. Its totient is φ = 135240.

The previous prime is 205967. The next prime is 205981. The reversal of 205971 is 179502.

205971 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 205971 - 2² = 205967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205951) 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, 271 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (34848).

2²⁰⁵⁹⁷¹ is an apocalyptic number.

205971 is a deficient number, since it is larger than the sum of its proper divisors (72813).

205971 is an equidigital number, since it uses as much as digits as its factorization.

205971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 205971 is about 453.8402802749. The cubic root of 205971 is about 59.0566343101.

It can be divided in two parts, 205 and 971, that added together give a triangular number (1176 = T₄₈).

The spelling of 205971 in words is "two hundred five thousand, nine hundred seventy-one".