213316 has 12 divisors (see below), whose sum is σ = 395388. Its totient is φ = 100352.

The previous prime is 213307. The next prime is 213319. The reversal of 213316 is 613312.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 14400 = 446^2 + 120^2 .

It is an Ulam number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 213316.

It is not an unprimeable number, because it can be changed into a prime (213319) by changing a digit.

213316 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, 1501 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (32949).

2²¹³³¹⁶ is an apocalyptic number.

It is an amenable number.

213316 is a deficient number, since it is larger than the sum of its proper divisors (182072).

213316 is a wasteful number, since it uses less digits than its factorization.

213316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3156 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 213316 is about 461.8614510868. The cubic root of 213316 is about 59.7504449586.

Adding to 213316 its reverse (613312), we get a palindrome (826628).

It can be divided in two parts, 213 and 316, that added together give a square (529 = 23²).

The spelling of 213316 in words is "two hundred thirteen thousand, three hundred sixteen".