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85782857 is a prime number
BaseRepresentation
bin1010001110011…
…11000101001001
312222102012221212
411013033011021
5133430022412
612302342505
72061066536
oct507170511
9188365855
1085782857
1144470a26
122488aa35
1314a065b4
14b56dd8d
1577e7222
hex51cf149

85782857 has 2 divisors, whose sum is σ = 85782858. Its totient is φ = 85782856.

The previous prime is 85782821. The next prime is 85782869. The reversal of 85782857 is 75828758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82973881 + 2808976 = 9109^2 + 1676^2 .

It is a cyclic number.

It is not a de Polignac number, because 85782857 - 26 = 85782793 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85782817) 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, 42891428 + 42891429.

It is an arithmetic number, because the mean of its divisors is an integer number (42891429).

Almost surely, 285782857 is an apocalyptic number.

It is an amenable number.

85782857 is a deficient number, since it is larger than the sum of its proper divisors (1).

85782857 is an equidigital number, since it uses as much as digits as its factorization.

85782857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1254400, while the sum is 50.

The square root of 85782857 is about 9261.9035300526. The cubic root of 85782857 is about 441.0286830273.

The spelling of 85782857 in words is "eighty-five million, seven hundred eighty-two thousand, eight hundred fifty-seven".