205500 has 48 divisors (see below), whose sum is σ = 602784. Its totient is φ = 54400.

The previous prime is 205493. The next prime is 205507. The reversal of 205500 is 5502.

205500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205493) and next prime (205507).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (12558).

2²⁰⁵⁵⁰⁰ is an apocalyptic number.

205500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392).

205500 is an abundant number, since it is smaller than the sum of its proper divisors (397284).

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

205500 is a wasteful number, since it uses less digits than its factorization.

205500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 205500 is about 453.3210782657. The cubic root of 205500 is about 59.0115844341.

The spelling of 205500 in words is "two hundred five thousand, five hundred".