205873 has 4 divisors (see below), whose sum is σ = 214848. Its totient is φ = 196900.

The previous prime is 205847. The next prime is 205879. The reversal of 205873 is 378502.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 378502 = 2 ⋅189251.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4453 + ... + 4498.

It is an arithmetic number, because the mean of its divisors is an integer number (53712).

2²⁰⁵⁸⁷³ is an apocalyptic number.

205873 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205873 is a deficient number, since it is larger than the sum of its proper divisors (8975).

205873 is an equidigital number, since it uses as much as digits as its factorization.

205873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 205873 is about 453.7322999303. The cubic root of 205873 is about 59.0472665378.

The spelling of 205873 in words is "two hundred five thousand, eight hundred seventy-three".