206500 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 69600.

The previous prime is 206489. The next prime is 206501. The reversal of 206500 is 5602.

206500 = 81² + 82² + ... + 104².

It is not an unprimeable number, because it can be changed into a prime (206501) by changing a digit.

206500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3471 + ... + 3529.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²⁰⁶⁵⁰⁰ is an apocalyptic number.

206500 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 206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

206500 is an abundant number, since it is smaller than the sum of its proper divisors (317660).

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

206500 is a wasteful number, since it uses less digits than its factorization.

206500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 206500 is about 454.4227107001. The cubic root of 206500 is about 59.1071499200.

The spelling of 206500 in words is "two hundred six thousand, five hundred".