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823327873 is a prime number
BaseRepresentation
bin110001000100101…
…111110010000001
32010101020101111221
4301010233302001
53141232442443
6213410435041
726255112544
oct6104576201
92111211457
10823327873
11392824465
121ab892a81
1310175cc74
147b4bc85b
154c433eed
hex3112fc81

823327873 has 2 divisors, whose sum is σ = 823327874. Its totient is φ = 823327872.

The previous prime is 823327859. The next prime is 823327889. The reversal of 823327873 is 378723328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 687068944 + 136258929 = 26212^2 + 11673^2 .

It is a cyclic number.

It is not a de Polignac number, because 823327873 - 213 = 823319681 is a prime.

It is not a weakly prime, because it can be changed into another prime (823327073) 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, 411663936 + 411663937.

It is an arithmetic number, because the mean of its divisors is an integer number (411663937).

Almost surely, 2823327873 is an apocalyptic number.

It is an amenable number.

823327873 is a deficient number, since it is larger than the sum of its proper divisors (1).

823327873 is an equidigital number, since it uses as much as digits as its factorization.

823327873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 338688, while the sum is 43.

The square root of 823327873 is about 28693.6904736913. The cubic root of 823327873 is about 937.2546550400.

The spelling of 823327873 in words is "eight hundred twenty-three million, three hundred twenty-seven thousand, eight hundred seventy-three".