213537216 has 56 divisors (see below), whose sum is σ = 566470800. Its totient is φ = 70991872.

The previous prime is 213537199. The next prime is 213537217. The reversal of 213537216 is 612735312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213537217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84970 + ... + 87446.

It is an arithmetic number, because the mean of its divisors is an integer number (10115550).

Almost surely, 2^213537216 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 213537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283235400).

213537216 is an abundant number, since it is smaller than the sum of its proper divisors (352933584).

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

213537216 is a wasteful number, since it uses less digits than its factorization.

213537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2931 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 213537216 is about 14612.9126460128. The cubic root of 213537216 is about 597.7109224235.

The spelling of 213537216 in words is "two hundred thirteen million, five hundred thirty-seven thousand, two hundred sixteen".