205983 has 10 divisors (see below), whose sum is σ = 307824. Its totient is φ = 137268.

The previous prime is 205981. The next prime is 205991. The reversal of 205983 is 389502.

It is not a de Polignac number, because 205983 - 2¹ = 205981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

205983 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205981) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1191 + ... + 1352.

2²⁰⁵⁹⁸³ is an apocalyptic number.

205983 is a deficient number, since it is larger than the sum of its proper divisors (101841).

205983 is an equidigital number, since it uses as much as digits as its factorization.

205983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 205983 is about 453.8535005924. The cubic root of 205983 is about 59.0577811801.

The spelling of 205983 in words is "two hundred five thousand, nine hundred eighty-three".