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827135347 is a prime number
BaseRepresentation
bin110001010011010…
…001010101110011
32010122101211101111
4301103101111303
53143221312342
6214024214151
726332351213
oct6123212563
92118354344
10827135347
11394995035
121b100a357
13102493ccc
147bbd0243
154c937217
hex314d1573

827135347 has 2 divisors, whose sum is σ = 827135348. Its totient is φ = 827135346.

The previous prime is 827135329. The next prime is 827135363. The reversal of 827135347 is 743531728.

It is a happy number.

827135347 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 827135347 - 211 = 827133299 is a prime.

It is a Chen prime.

It is equal to p42468916 and since 827135347 and 42468916 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (827135327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413567673 + 413567674.

It is an arithmetic number, because the mean of its divisors is an integer number (413567674).

Almost surely, 2827135347 is an apocalyptic number.

827135347 is a deficient number, since it is larger than the sum of its proper divisors (1).

827135347 is an equidigital number, since it uses as much as digits as its factorization.

827135347 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 40.

The square root of 827135347 is about 28759.9608309886. The cubic root of 827135347 is about 938.6972094950.

The spelling of 827135347 in words is "eight hundred twenty-seven million, one hundred thirty-five thousand, three hundred forty-seven".