205797 has 8 divisors (see below), whose sum is σ = 276640. Its totient is φ = 136080.

The previous prime is 205783. The next prime is 205817. The reversal of 205797 is 797502.

It is a happy number.

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

It is not a de Polignac number, because 205797 - 2¹² = 201701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205097) 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, 354 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2²⁰⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

205797 is a deficient number, since it is larger than the sum of its proper divisors (70843).

205797 is a wasteful number, since it uses less digits than its factorization.

205797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 205797 is about 453.6485423761. The cubic root of 205797 is about 59.0399996879.

The spelling of 205797 in words is "two hundred five thousand, seven hundred ninety-seven".