34213 has 2 divisors, whose sum is σ = 34214. Its totient is φ = 34212.

The previous prime is 34211. The next prime is 34217. The reversal of 34213 is 31243.

34213 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 1089 = 182^2 + 33^2 .

It is a cyclic number.

It is not a de Polignac number, because 34213 - 2¹ = 34211 is a prime.

Together with 34211, it forms a pair of twin primes.

34213 is a lucky number.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 34193 and 34202.

It is a congruent number.

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, 17106 + 17107.

It is an arithmetic number, because the mean of its divisors is an integer number (17107).

2³⁴²¹³ is an apocalyptic number.

It is an amenable number.

34213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34213 is an equidigital number, since it uses as much as digits as its factorization.

34213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 13.

The square root of 34213 is about 184.9675647242. The cubic root of 34213 is about 32.4636279488.

Adding to 34213 its reverse (31243), we get a palindrome (65456).

The spelling of 34213 in words is "thirty-four thousand, two hundred thirteen".