212917 has 2 divisors, whose sum is σ = 212918. Its totient is φ = 212916.

The previous prime is 212909. The next prime is 212923. The reversal of 212917 is 719212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 78961 = 366^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 212917 - 2³ = 212909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212987) 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 as a sum of consecutive naturals, namely, 106458 + 106459.

It is an arithmetic number, because the mean of its divisors is an integer number (106459).

2²¹²⁹¹⁷ is an apocalyptic number.

It is an amenable number.

212917 is a deficient number, since it is larger than the sum of its proper divisors (1).

212917 is an equidigital number, since it uses as much as digits as its factorization.

212917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 22.

The square root of 212917 is about 461.4293011936. The cubic root of 212917 is about 59.7131680123.

The spelling of 212917 in words is "two hundred twelve thousand, nine hundred seventeen".