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85823873 is a prime number
BaseRepresentation
bin1010001110110…
…01000110000001
312222111022012222
411013121012001
5133432330443
612303300425
72061330242
oct507310601
9188438188
1085823873
1144499823
12248aa715
1314a1c175
14b580cc9
157804468
hex51d9181

85823873 has 2 divisors, whose sum is σ = 85823874. Its totient is φ = 85823872.

The previous prime is 85823821. The next prime is 85823887. The reversal of 85823873 is 37832858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83302129 + 2521744 = 9127^2 + 1588^2 .

It is a cyclic number.

It is not a de Polignac number, because 85823873 - 212 = 85819777 is a prime.

It is equal to p4988816 and since 85823873 and 4988816 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 (85823813) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42911936 + 42911937.

It is an arithmetic number, because the mean of its divisors is an integer number (42911937).

Almost surely, 285823873 is an apocalyptic number.

It is an amenable number.

85823873 is a deficient number, since it is larger than the sum of its proper divisors (1).

85823873 is an equidigital number, since it uses as much as digits as its factorization.

85823873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 44.

The square root of 85823873 is about 9264.1174970960. The cubic root of 85823873 is about 441.0989626101.

The spelling of 85823873 in words is "eighty-five million, eight hundred twenty-three thousand, eight hundred seventy-three".