213217 has 2 divisors, whose sum is σ = 213218. Its totient is φ = 213216.

The previous prime is 213209. The next prime is 213223. The reversal of 213217 is 712312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108241 + 104976 = 329^2 + 324^2 .

It is a cyclic number.

It is not a de Polignac number, because 213217 - 2³ = 213209 is a prime.

It is a super-2 number, since 2×213217² = 90922978178, which contains 22 as substring.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 213217.

It is not a weakly prime, because it can be changed into another prime (213247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106608 + 106609.

It is an arithmetic number, because the mean of its divisors is an integer number (106609).

2²¹³²¹⁷ is an apocalyptic number.

It is an amenable number.

213217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213217 is an equidigital number, since it uses as much as digits as its factorization.

213217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 16.

The square root of 213217 is about 461.7542636511. The cubic root of 213217 is about 59.7412001302.

Adding to 213217 its reverse (712312), we get a palindrome (925529).

The spelling of 213217 in words is "two hundred thirteen thousand, two hundred seventeen".