213117216 has 48 divisors (see below), whose sum is σ = 602469504. Its totient is φ = 65574144.

The previous prime is 213117211. The next prime is 213117277. The reversal of 213117216 is 612711312.

213117216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213117211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84136 + ... + 86631.

It is an arithmetic number, because the mean of its divisors is an integer number (12551448).

Almost surely, 2^213117216 is an apocalyptic number.

213117216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213117216 is an abundant number, since it is smaller than the sum of its proper divisors (389352288).

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

213117216 is a wasteful number, since it uses less digits than its factorization.

213117216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170793 (or 170785 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 213117216 is about 14598.5347209917. The cubic root of 213117216 is about 597.3187919416.

Adding to 213117216 its reverse (612711312), we get a palindrome (825828528).

The spelling of 213117216 in words is "two hundred thirteen million, one hundred seventeen thousand, two hundred sixteen".