217212 has 24 divisors (see below), whose sum is σ = 529536. Its totient is φ = 69168.

The previous prime is 217207. The next prime is 217219. The reversal of 217212 is 212712.

217212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 217191 and 217200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217219) by changing a digit.

217212 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 7 ways as a sum of consecutive naturals, for example, 118 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (22064).

2²¹⁷²¹² is an apocalyptic number.

It is an amenable number.

217212 is an abundant number, since it is smaller than the sum of its proper divisors (312324).

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

217212 is a wasteful number, since it uses less digits than its factorization.

217212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 217212 is about 466.0600819637. The cubic root of 217212 is about 60.1120129770.

Subtracting from 217212 its product of digits (56), we obtain a square (217156 = 466²).

Adding to 217212 its reverse (212712), we get a palindrome (429924).

The spelling of 217212 in words is "two hundred seventeen thousand, two hundred twelve", and thus it is an iban number.