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85314017 is a prime number
BaseRepresentation
bin1010001010111…
…00100111100001
312221112101211102
411011130213201
5133320022032
612244324145
72054104625
oct505344741
9187471742
1085314017
1144180758
12246a3655
13148a1089
14b48b185
157753362
hex515c9e1

85314017 has 2 divisors, whose sum is σ = 85314018. Its totient is φ = 85314016.

The previous prime is 85313951. The next prime is 85314049. The reversal of 85314017 is 71041358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50751376 + 34562641 = 7124^2 + 5879^2 .

It is a cyclic number.

It is not a de Polignac number, because 85314017 - 222 = 81119713 is a prime.

It is not a weakly prime, because it can be changed into another prime (85314217) 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, 42657008 + 42657009.

It is an arithmetic number, because the mean of its divisors is an integer number (42657009).

Almost surely, 285314017 is an apocalyptic number.

It is an amenable number.

85314017 is a deficient number, since it is larger than the sum of its proper divisors (1).

85314017 is an equidigital number, since it uses as much as digits as its factorization.

85314017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 85314017 is about 9236.5587206492. The cubic root of 85314017 is about 440.2237446752.

The spelling of 85314017 in words is "eighty-five million, three hundred fourteen thousand, seventeen".