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85406591 is a prime number
BaseRepresentation
bin1010001011100…
…11001101111111
312221201002211002
411011303031333
5133331002331
612250320515
72054641544
oct505631577
9187632732
1085406591
1144234266
122472913b
131490425a
14b4b2bcb
1577709cb
hex517337f

85406591 has 2 divisors, whose sum is σ = 85406592. Its totient is φ = 85406590.

The previous prime is 85406551. The next prime is 85406597. The reversal of 85406591 is 19560458.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85406591 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85406597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42703295 + 42703296.

It is an arithmetic number, because the mean of its divisors is an integer number (42703296).

Almost surely, 285406591 is an apocalyptic number.

85406591 is a deficient number, since it is larger than the sum of its proper divisors (1).

85406591 is an equidigital number, since it uses as much as digits as its factorization.

85406591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 85406591 is about 9241.5686439046. The cubic root of 85406591 is about 440.3829156330.

The spelling of 85406591 in words is "eighty-five million, four hundred six thousand, five hundred ninety-one".