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85806289 is a prime number
BaseRepresentation
bin1010001110101…
…00110011010001
312222110102002201
411013110303101
5133431300124
612303043201
72061225052
oct507246321
9188412081
1085806289
1144487598
12248a0501
1314a1416a
14b578729
1577ee144
hex51d4cd1

85806289 has 2 divisors, whose sum is σ = 85806290. Its totient is φ = 85806288.

The previous prime is 85806283. The next prime is 85806323. The reversal of 85806289 is 98260858.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82446400 + 3359889 = 9080^2 + 1833^2 .

It is a cyclic number.

It is not a de Polignac number, because 85806289 - 25 = 85806257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85806283) 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, 42903144 + 42903145.

It is an arithmetic number, because the mean of its divisors is an integer number (42903145).

Almost surely, 285806289 is an apocalyptic number.

It is an amenable number.

85806289 is a deficient number, since it is larger than the sum of its proper divisors (1).

85806289 is an equidigital number, since it uses as much as digits as its factorization.

85806289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 85806289 is about 9263.1684104306. The cubic root of 85806289 is about 441.0688357403.

The spelling of 85806289 in words is "eighty-five million, eight hundred six thousand, two hundred eighty-nine".