205965 has 24 divisors (see below), whose sum is σ = 374400. Its totient is φ = 104544.

The previous prime is 205963. The next prime is 205967. The reversal of 205965 is 569502.

It is an interprime number because it is at equal distance from previous prime (205963) and next prime (205967).

It is not a de Polignac number, because 205965 - 2¹ = 205963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2²⁰⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

205965 is a deficient number, since it is larger than the sum of its proper divisors (168435).

205965 is a wasteful number, since it uses less digits than its factorization.

205965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 205965 is about 453.8336699717. The cubic root of 205965 is about 59.0560608584.

The spelling of 205965 in words is "two hundred five thousand, nine hundred sixty-five".