213616 has 30 divisors (see below), whose sum is σ = 453840. Its totient is φ = 97344.

The previous prime is 213613. The next prime is 213623. The reversal of 213616 is 616312.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213593 and 213602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2665 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (15128).

2²¹³⁶¹⁶ is an apocalyptic number.

213616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226920).

213616 is an abundant number, since it is smaller than the sum of its proper divisors (240224).

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

213616 is a wasteful number, since it uses less digits than its factorization.

213616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 213616 is about 462.1861097004. The cubic root of 213616 is about 59.7784421348.

Adding to 213616 its reverse (616312), we get a palindrome (829928).

The spelling of 213616 in words is "two hundred thirteen thousand, six hundred sixteen".