212117 has 2 divisors, whose sum is σ = 212118. Its totient is φ = 212116.

The previous prime is 212099. The next prime is 212123. The reversal of 212117 is 711212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130321 + 81796 = 361^2 + 286^2 .

It is a cyclic number.

It is not a de Polignac number, because 212117 - 2¹⁰ = 211093 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212117.

It is not a weakly prime, because it can be changed into another prime (212167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106058 + 106059.

It is an arithmetic number, because the mean of its divisors is an integer number (106059).

2²¹²¹¹⁷ is an apocalyptic number.

It is an amenable number.

212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212117 is an equidigital number, since it uses as much as digits as its factorization.

212117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28, while the sum is 14.

The square root of 212117 is about 460.5616136849. The cubic root of 212117 is about 59.6382867369.

Adding to 212117 its reverse (711212), we get a palindrome (923329).

The spelling of 212117 in words is "two hundred twelve thousand, one hundred seventeen", and thus it is an iban number.