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85379617 is a prime number
BaseRepresentation
bin1010001011011…
…00101000100001
312221122201211001
411011230220201
5133324121432
612245552001
72054500111
oct505545041
9187581731
1085379617
1144215a74
1224715601
13148c4bab
14b4a7041
1577679e7
hex516ca21

85379617 has 2 divisors, whose sum is σ = 85379618. Its totient is φ = 85379616.

The previous prime is 85379587. The next prime is 85379621. The reversal of 85379617 is 71697358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59613841 + 25765776 = 7721^2 + 5076^2 .

It is a cyclic number.

It is not a de Polignac number, because 85379617 - 211 = 85377569 is a prime.

It is not a weakly prime, because it can be changed into another prime (85379677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42689808 + 42689809.

It is an arithmetic number, because the mean of its divisors is an integer number (42689809).

Almost surely, 285379617 is an apocalyptic number.

It is an amenable number.

85379617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85379617 is an equidigital number, since it uses as much as digits as its factorization.

85379617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 46.

The square root of 85379617 is about 9240.1091443770. The cubic root of 85379617 is about 440.3365486434.

The spelling of 85379617 in words is "eighty-five million, three hundred seventy-nine thousand, six hundred seventeen".