205973 has 4 divisors (see below), whose sum is σ = 206988. Its totient is φ = 204960.

The previous prime is 205967. The next prime is 205981. The reversal of 205973 is 379502.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 178084 + 27889 = 422^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 205973 - 2⁴ = 205957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (51747).

2²⁰⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

205973 is a deficient number, since it is larger than the sum of its proper divisors (1015).

205973 is an equidigital number, since it uses as much as digits as its factorization.

205973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 205973 is about 453.8424836879. The cubic root of 205973 is about 59.0568254582.

The spelling of 205973 in words is "two hundred five thousand, nine hundred seventy-three".