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768217217 is a prime number
BaseRepresentation
bin101101110010100…
…001000010000001
31222112112110220112
4231302201002001
53033130422332
6204121321105
725015511225
oct5562410201
91875473815
10768217217
11364702a69
12195336195
13c3205601
1474054785
1547699db2
hex2dca1081

768217217 has 2 divisors, whose sum is σ = 768217218. Its totient is φ = 768217216.

The previous prime is 768217213. The next prime is 768217237. The reversal of 768217217 is 712712867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693584896 + 74632321 = 26336^2 + 8639^2 .

It is an emirp because it is prime and its reverse (712712867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768217217 - 22 = 768217213 is a prime.

It is not a weakly prime, because it can be changed into another prime (768217213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384108608 + 384108609.

It is an arithmetic number, because the mean of its divisors is an integer number (384108609).

Almost surely, 2768217217 is an apocalyptic number.

It is an amenable number.

768217217 is a deficient number, since it is larger than the sum of its proper divisors (1).

768217217 is an equidigital number, since it uses as much as digits as its factorization.

768217217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65856, while the sum is 41.

The square root of 768217217 is about 27716.7317156984. The cubic root of 768217217 is about 915.8577231937.

The spelling of 768217217 in words is "seven hundred sixty-eight million, two hundred seventeen thousand, two hundred seventeen".