34211 has 2 divisors, whose sum is σ = 34212. Its totient is φ = 34210.

The previous prime is 34183. The next prime is 34213. The reversal of 34211 is 11243.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (11243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34211 - 2⁶ = 34147 is a prime.

Together with 34213, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34192 and 34201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34211.

It is not a weakly prime, because it can be changed into another prime (34213) 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, 17105 + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (17106).

2³⁴²¹¹ is an apocalyptic number.

34211 is a deficient number, since it is larger than the sum of its proper divisors (1).

34211 is an equidigital number, since it uses as much as digits as its factorization.

34211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 11.

The square root of 34211 is about 184.9621582919. The cubic root of 34211 is about 32.4629953577.

Adding to 34211 its reverse (11243), we get a palindrome (45454).

It can be divided in two parts, 342 and 11, that added together give a palindrome (353).

The spelling of 34211 in words is "thirty-four thousand, two hundred eleven".