205713 has 16 divisors (see below), whose sum is σ = 321600. Its totient is φ = 129600.

The previous prime is 205703. The next prime is 205721. The reversal of 205713 is 317502.

It is not a de Polignac number, because 205713 - 2⁹ = 205201 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 313 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (20100).

2²⁰⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

205713 is a deficient number, since it is larger than the sum of its proper divisors (115887).

205713 is a wasteful number, since it uses less digits than its factorization.

205713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 205713 is about 453.5559502421. Note that the first 3 decimals coincide. The cubic root of 205713 is about 59.0319658246.

The spelling of 205713 in words is "two hundred five thousand, seven hundred thirteen".