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85759097 is a prime number
BaseRepresentation
bin1010001110010…
…01010001111001
312222101000100212
411013021101321
5133423242342
612302040505
72060640344
oct507112171
9188330325
1085759097
1144455096
1224879135
13149c8838
14b56545b
1577e0182
hex51c9479

85759097 has 2 divisors, whose sum is σ = 85759098. Its totient is φ = 85759096.

The previous prime is 85759043. The next prime is 85759171. The reversal of 85759097 is 79095758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83375161 + 2383936 = 9131^2 + 1544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85759097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85759897) 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, 42879548 + 42879549.

It is an arithmetic number, because the mean of its divisors is an integer number (42879549).

Almost surely, 285759097 is an apocalyptic number.

It is an amenable number.

85759097 is a deficient number, since it is larger than the sum of its proper divisors (1).

85759097 is an equidigital number, since it uses as much as digits as its factorization.

85759097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 50.

The square root of 85759097 is about 9260.6207675296. The cubic root of 85759097 is about 440.9879607918.

The spelling of 85759097 in words is "eighty-five million, seven hundred fifty-nine thousand, ninety-seven".