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34517213 is a prime number
BaseRepresentation
bin1000001110101…
…1000011011101
32101221122201022
42003223003131
532314022323
63231453525
7566251163
oct203530335
971848638
1034517213
1118536325
12b6872a5
1371c70b3
144827233
15306c4c8
hex20eb0dd

34517213 has 2 divisors, whose sum is σ = 34517214. Its totient is φ = 34517212.

The previous prime is 34517207. The next prime is 34517239. The reversal of 34517213 is 31271543.

34517213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (34517239) can be obtained adding 34517213 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20775364 + 13741849 = 4558^2 + 3707^2 .

It is an emirp because it is prime and its reverse (31271543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34517213 - 222 = 30322909 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34517713) 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, 17258606 + 17258607.

It is an arithmetic number, because the mean of its divisors is an integer number (17258607).

Almost surely, 234517213 is an apocalyptic number.

It is an amenable number.

34517213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34517213 is an equidigital number, since it uses as much as digits as its factorization.

34517213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 34517213 is about 5875.1351473817. The cubic root of 34517213 is about 325.5956351149.

Adding to 34517213 its reverse (31271543), we get a palindrome (65788756).

The spelling of 34517213 in words is "thirty-four million, five hundred seventeen thousand, two hundred thirteen".