205773 has 8 divisors (see below), whose sum is σ = 277248. Its totient is φ = 135744.

The previous prime is 205763. The next prime is 205783. The reversal of 205773 is 377502.

205773 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (205763) and next prime (205783).

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

It is not a de Polignac number, because 205773 - 2¹⁰ = 204749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205703) 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, 36 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (34656).

2²⁰⁵⁷⁷³ is an apocalyptic number.

It is an amenable number.

205773 is a deficient number, since it is larger than the sum of its proper divisors (71475).

205773 is a wasteful number, since it uses less digits than its factorization.

205773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 205773 is about 453.6220894092. The cubic root of 205773 is about 59.0377045215.

The spelling of 205773 in words is "two hundred five thousand, seven hundred seventy-three".