209216 has 28 divisors (see below), whose sum is σ = 475488. Its totient is φ = 89472.

The previous prime is 209213. The next prime is 209221. The reversal of 209216 is 612902.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215 + ... + 681.

2²⁰⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744).

209216 is an abundant number, since it is smaller than the sum of its proper divisors (266272).

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

209216 is an equidigital number, since it uses as much as digits as its factorization.

209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 209216 is about 457.4013554855. The cubic root of 209216 is about 59.3651584796.

The spelling of 209216 in words is "two hundred nine thousand, two hundred sixteen".