205356 has 24 divisors (see below), whose sum is σ = 486640. Its totient is φ = 67392.

The previous prime is 205339. The next prime is 205357. The reversal of 205356 is 653502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205357) by changing a digit.

205356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1230 + ... + 1386.

2²⁰⁵³⁵⁶ is an apocalyptic number.

It is an amenable number.

205356 is an abundant number, since it is smaller than the sum of its proper divisors (281284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205356 is a wasteful number, since it uses less digits than its factorization.

205356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 205356 is about 453.1622226091. The cubic root of 205356 is about 58.9977974855.

Adding to 205356 its reverse (653502), we get a palindrome (858858).

It can be divided in two parts, 205 and 356, that added together give a triangular number (561 = T₃₃).

The spelling of 205356 in words is "two hundred five thousand, three hundred fifty-six".