205350 has 36 divisors (see below), whose sum is σ = 523404. Its totient is φ = 53280.

The previous prime is 205339. The next prime is 205357. The reversal of 205350 is 53502.

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

It is a Curzon number.

It is a congruent number.

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

205350 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 17 ways as a sum of consecutive naturals, for example, 5532 + ... + 5568.

It is an arithmetic number, because the mean of its divisors is an integer number (14539).

2²⁰⁵³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261702).

205350 is an abundant number, since it is smaller than the sum of its proper divisors (318054).

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

205350 is a wasteful number, since it uses less digits than its factorization.

205350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

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

The square root of 205350 is about 453.1556024149. The cubic root of 205350 is about 58.9972228895.

Multiplying 205350 by its product of nonzero digits (150), we get a square (30802500 = 5550²).

205350 divided by its product of nonzero digits (150) gives a square (1369 = 37²).

Adding to 205350 its reverse (53502), we get a palindrome (258852).

It can be divided in two parts, 205 and 350, that added together give a palindrome (555).

The spelling of 205350 in words is "two hundred five thousand, three hundred fifty".