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85317689 is a prime number
BaseRepresentation
bin1010001010111…
…01100000111001
312221112120212102
411011131200321
5133320131224
612244353145
72054121422
oct505354071
9187476772
1085317689
1144183496
12246a57b5
13148a2952
14b48c649
1577544ae
hex515d839

85317689 has 2 divisors, whose sum is σ = 85317690. Its totient is φ = 85317688.

The previous prime is 85317677. The next prime is 85317691. The reversal of 85317689 is 98671358.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68343289 + 16974400 = 8267^2 + 4120^2 .

It is a cyclic number.

It is not a de Polignac number, because 85317689 - 212 = 85313593 is a prime.

Together with 85317691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85337689) 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, 42658844 + 42658845.

It is an arithmetic number, because the mean of its divisors is an integer number (42658845).

Almost surely, 285317689 is an apocalyptic number.

It is an amenable number.

85317689 is a deficient number, since it is larger than the sum of its proper divisors (1).

85317689 is an equidigital number, since it uses as much as digits as its factorization.

85317689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 47.

The square root of 85317689 is about 9236.7574938395. The cubic root of 85317689 is about 440.2300604737.

The spelling of 85317689 in words is "eighty-five million, three hundred seventeen thousand, six hundred eighty-nine".