205653 has 12 divisors (see below), whose sum is σ = 319200. Its totient is φ = 117432.

The previous prime is 205651. The next prime is 205657. The reversal of 205653 is 356502.

205653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205653 - 2¹ = 205651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

205653 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2²⁰⁵⁶⁵³ is an apocalyptic number.

It is an amenable number.

205653 is a deficient number, since it is larger than the sum of its proper divisors (113547).

205653 is a wasteful number, since it uses less digits than its factorization.

205653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

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

The square root of 205653 is about 453.4898014289. The cubic root of 205653 is about 59.0262260118.

It can be divided in two parts, 205 and 653, that added together give a palindrome (858).

The spelling of 205653 in words is "two hundred five thousand, six hundred fifty-three".