205300 has 18 divisors (see below), whose sum is σ = 445718. Its totient is φ = 82080.
The previous prime is 205297. The next prime is 205307. The reversal of 205300 is 3502.
205300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 191844 = 116^2 + 438^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205307) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 927 + ... + 1126.
2205300 is an apocalyptic number.
205300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
205300 is an abundant number, since it is smaller than the sum of its proper divisors (240418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205300 is a wasteful number, since it uses less digits than its factorization.
205300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 10.
The square root of 205300 is about 453.1004303684. The cubic root of 205300 is about 58.9924341538.
Adding to 205300 its reverse (3502), we get a palindrome (208802).
It can be divided in two parts, 205 and 300, that added together give a palindrome (505).
The spelling of 205300 in words is "two hundred five thousand, three hundred".
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