212717 has 4 divisors (see below), whose sum is σ = 213756. Its totient is φ = 211680.

The previous prime is 212701. The next prime is 212777. The reversal of 212717 is 717212.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 137641 + 75076 = 371^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 212717 - 2⁴ = 212701 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212777) 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (53439).

2²¹²⁷¹⁷ is an apocalyptic number.

It is an amenable number.

212717 is a deficient number, since it is larger than the sum of its proper divisors (1039).

212717 is an equidigital number, since it uses as much as digits as its factorization.

212717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038.

The product of its digits is 196, while the sum is 20.

The square root of 212717 is about 461.2125323536. The cubic root of 212717 is about 59.6944653019.

Subtracting from 212717 its product of digits (196), we obtain a square (212521 = 461²).

Adding to 212717 its reverse (717212), we get a palindrome (929929).

It can be divided in two parts, 212 and 717, that added together give a palindrome (929).

The spelling of 212717 in words is "two hundred twelve thousand, seven hundred seventeen", and thus it is an iban number.