34217 has 2 divisors, whose sum is σ = 34218. Its totient is φ = 34216.

The previous prime is 34213. The next prime is 34231. The reversal of 34217 is 71243.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 361 = 184^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 34217 - 2² = 34213 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁴ + 4⁵ + 2¹⁵ + 1 + 7³ .

It is a junction number, because it is equal to n+sod(n) for n = 34195 and 34204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34217.

It is not a weakly prime, because it can be changed into another prime (34211) 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, 17108 + 17109.

It is an arithmetic number, because the mean of its divisors is an integer number (17109).

2³⁴²¹⁷ is an apocalyptic number.

It is an amenable number.

34217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34217 is an equidigital number, since it uses as much as digits as its factorization.

34217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 17.

The square root of 34217 is about 184.9783771147. The cubic root of 34217 is about 32.4648930571.

The spelling of 34217 in words is "thirty-four thousand, two hundred seventeen".