216500 has 24 divisors (see below), whose sum is σ = 473928. Its totient is φ = 86400.

The previous prime is 216493. The next prime is 216509. The reversal of 216500 is 5612.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 178084 = 196^2 + 422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2²¹⁶⁵⁰⁰ is an apocalyptic number.

216500 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 216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236964).

216500 is an abundant number, since it is smaller than the sum of its proper divisors (257428).

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

216500 is a wasteful number, since it uses less digits than its factorization.

216500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 216500 is about 465.2956049653. The cubic root of 216500 is about 60.0462606197.

The spelling of 216500 in words is "two hundred sixteen thousand, five hundred".