213516 has 30 divisors (see below), whose sum is σ = 559020. Its totient is φ = 71064.

The previous prime is 213491. The next prime is 213523. The reversal of 213516 is 615312.

Added to its reverse (615312) it gives a triangular number (828828 = T₁₂₈₇).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213516.

It is an unprimeable number.

213516 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 9 ways as a sum of consecutive naturals, for example, 6 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (18634).

2²¹³⁵¹⁶ 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 213516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279510).

213516 is an abundant number, since it is smaller than the sum of its proper divisors (345504).

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

213516 is a wasteful number, since it uses less digits than its factorization.

213516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 213516 is about 462.0779155078. The cubic root of 213516 is about 59.7691126569.

Adding to 213516 its reverse (615312), we get a palindrome (828828).

It can be divided in two parts, 213 and 516, that added together give a 6-th power (729 = 3⁶).

The spelling of 213516 in words is "two hundred thirteen thousand, five hundred sixteen".