221316 has 12 divisors (see below), whose sum is σ = 516432. Its totient is φ = 73768.

The previous prime is 221311. The next prime is 221317. The reversal of 221316 is 613122.

It is a tau number, because it is divible by the number of its divisors (12).

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 = 221295 and 221304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221316.

It is not an unprimeable number, because it can be changed into a prime (221311) by changing a digit.

221316 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 3 ways as a sum of consecutive naturals, for example, 9210 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (43036).

2²²¹³¹⁶ is an apocalyptic number.

It is an amenable number.

221316 is an abundant number, since it is smaller than the sum of its proper divisors (295116).

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

221316 is a wasteful number, since it uses less digits than its factorization.

221316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18448 counting only the distinct ones).

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

The square root of 221316 is about 470.4423450328. The cubic root of 221316 is about 60.4882384987.

Adding to 221316 its reverse (613122), we get a palindrome (834438).

The spelling of 221316 in words is "two hundred twenty-one thousand, three hundred sixteen".