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85942217 is a prime number
BaseRepresentation
bin1010001111101…
…01111111001001
312222201022120002
411013311333021
5134000122332
612310012345
72062332254
oct507657711
9188638502
1085942217
114456a729
12249470b5
1314a60caa
14b5b209b
157829562
hex51f5fc9

85942217 has 2 divisors, whose sum is σ = 85942218. Its totient is φ = 85942216.

The previous prime is 85942189. The next prime is 85942223. The reversal of 85942217 is 71224958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83704201 + 2238016 = 9149^2 + 1496^2 .

It is a cyclic number.

It is not a de Polignac number, because 85942217 - 218 = 85680073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85942247) 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, 42971108 + 42971109.

It is an arithmetic number, because the mean of its divisors is an integer number (42971109).

Almost surely, 285942217 is an apocalyptic number.

It is an amenable number.

85942217 is a deficient number, since it is larger than the sum of its proper divisors (1).

85942217 is an equidigital number, since it uses as much as digits as its factorization.

85942217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 38.

The square root of 85942217 is about 9270.5025214386. The cubic root of 85942217 is about 441.3016157817.

The spelling of 85942217 in words is "eighty-five million, nine hundred forty-two thousand, two hundred seventeen".