205293 has 8 divisors (see below), whose sum is σ = 298656. Its totient is φ = 124400.

The previous prime is 205267. The next prime is 205297. The reversal of 205293 is 392502.

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

It is a cyclic number.

It is not a de Polignac number, because 205293 - 2⁹ = 204781 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205297) 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, 3078 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (37332).

2²⁰⁵²⁹³ is an apocalyptic number.

It is an amenable number.

205293 is a deficient number, since it is larger than the sum of its proper divisors (93363).

205293 is a wasteful number, since it uses less digits than its factorization.

205293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 205293 is about 453.0927057457. The cubic root of 205293 is about 58.9917636688.

Adding to 205293 its reverse (392502), we get a palindrome (597795).

It can be divided in two parts, 2052 and 93, that added together give a triangular number (2145 = T₆₅).

The spelling of 205293 in words is "two hundred five thousand, two hundred ninety-three".