213453216 has 72 divisors (see below), whose sum is σ = 621847044. Its totient is φ = 69411840.

The previous prime is 213453211. The next prime is 213453217. The reversal of 213453216 is 612354312.

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 176400 = 14604^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 213453216.

It is not an unprimeable number, because it can be changed into a prime (213453211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2770 + ... + 20846.

Almost surely, 2^213453216 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 213453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310923522).

213453216 is an abundant number, since it is smaller than the sum of its proper divisors (408393828).

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

213453216 is a wasteful number, since it uses less digits than its factorization.

213453216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18123 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 213453216 is about 14610.0381929686. The cubic root of 213453216 is about 597.6325374885.

The spelling of 213453216 in words is "two hundred thirteen million, four hundred fifty-three thousand, two hundred sixteen".