205530 has 64 divisors (see below), whose sum is σ = 580608. Its totient is φ = 46080.

The previous prime is 205529. The next prime is 205537. The reversal of 205530 is 35502.

205530 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6615 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2²⁰⁵⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

205530 is an abundant number, since it is smaller than the sum of its proper divisors (375078).

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

205530 is a wasteful number, since it uses less digits than its factorization.

205530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 205530 is about 453.3541661880. The cubic root of 205530 is about 59.0144559043.

The spelling of 205530 in words is "two hundred five thousand, five hundred thirty".