213216 has 24 divisors (see below), whose sum is σ = 559944. Its totient is φ = 71040.

The previous prime is 213209. The next prime is 213217. The reversal of 213216 is 612312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×213216² = 90922125312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213195 and 213204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213216.

It is not an unprimeable number, because it can be changed into a prime (213217) 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, 1015 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (23331).

2²¹³²¹⁶ is an apocalyptic number.

It is an amenable number.

213216 is an abundant number, since it is smaller than the sum of its proper divisors (346728).

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

213216 is a wasteful number, since it uses less digits than its factorization.

213216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 213216 is about 461.7531808228. The cubic root of 213216 is about 59.7411067335.

Adding to 213216 its reverse (612312), we get a palindrome (825528).

The spelling of 213216 in words is "two hundred thirteen thousand, two hundred sixteen".