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85848601 is a prime number
BaseRepresentation
bin1010001110111…
…11001000011001
312222112120010211
411013133020121
5133434123401
612304011121
72061462316
oct507371031
9188476124
1085848601
1144506363
1224900aa1
1314a2a4b7
14b589d0d
15780b951
hex51df219

85848601 has 2 divisors, whose sum is σ = 85848602. Its totient is φ = 85848600.

The previous prime is 85848583. The next prime is 85848661. The reversal of 85848601 is 10684858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79192201 + 6656400 = 8899^2 + 2580^2 .

It is a cyclic number.

It is not a de Polignac number, because 85848601 - 25 = 85848569 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85848661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42924300 + 42924301.

It is an arithmetic number, because the mean of its divisors is an integer number (42924301).

Almost surely, 285848601 is an apocalyptic number.

It is an amenable number.

85848601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85848601 is an equidigital number, since it uses as much as digits as its factorization.

85848601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 85848601 is about 9265.4520127191. The cubic root of 85848601 is about 441.1413224157.

The spelling of 85848601 in words is "eighty-five million, eight hundred forty-eight thousand, six hundred one".