205257 has 16 divisors (see below), whose sum is σ = 311360. Its totient is φ = 119232.

The previous prime is 205253. The next prime is 205267. The reversal of 205257 is 752502.

It is not a de Polignac number, because 205257 - 2² = 205253 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 (205253) 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, 603 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (19460).

2²⁰⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

205257 is a deficient number, since it is larger than the sum of its proper divisors (106103).

205257 is a wasteful number, since it uses less digits than its factorization.

205257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 205257 is about 453.0529770347. The cubic root of 205257 is about 58.9883152193.

Adding to 205257 its reverse (752502), we get a palindrome (957759).

It can be divided in two parts, 2052 and 57, that multiplied together give a square (116964 = 342²).

The spelling of 205257 in words is "two hundred five thousand, two hundred fifty-seven".