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85839617 is a prime number
BaseRepresentation
bin1010001110111…
…00111100000001
312222112002211002
411013130330001
5133433331432
612303501345
72061424163
oct507347401
9188462732
1085839617
11444aa636
12248b7855
1314a26396
14b586933
157808e62
hex51dcf01

85839617 has 2 divisors, whose sum is σ = 85839618. Its totient is φ = 85839616.

The previous prime is 85839581. The next prime is 85839641. The reversal of 85839617 is 71693858.

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., 80982001 + 4857616 = 8999^2 + 2204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85839617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85839317) 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, 42919808 + 42919809.

It is an arithmetic number, because the mean of its divisors is an integer number (42919809).

Almost surely, 285839617 is an apocalyptic number.

It is an amenable number.

85839617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85839617 is an equidigital number, since it uses as much as digits as its factorization.

85839617 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 85839617 is about 9264.9671882851. The cubic root of 85839617 is about 441.1259334952.

The spelling of 85839617 in words is "eighty-five million, eight hundred thirty-nine thousand, six hundred seventeen".