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85844117 is a prime number
BaseRepresentation
bin1010001110111…
…10000010010101
312222112022222202
411013132002111
5133434002432
612303534245
72061443252
oct507360225
9188468882
1085844117
1144502a57
12248ba385
1314a28448
14b588429
15780a462
hex51de095

85844117 has 2 divisors, whose sum is σ = 85844118. Its totient is φ = 85844116.

The previous prime is 85844093. The next prime is 85844123. The reversal of 85844117 is 71144858.

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., 49434961 + 36409156 = 7031^2 + 6034^2 .

It is a cyclic number.

It is not a de Polignac number, because 85844117 - 218 = 85581973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85844167) 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, 42922058 + 42922059.

It is an arithmetic number, because the mean of its divisors is an integer number (42922059).

Almost surely, 285844117 is an apocalyptic number.

It is an amenable number.

85844117 is a deficient number, since it is larger than the sum of its proper divisors (1).

85844117 is an equidigital number, since it uses as much as digits as its factorization.

85844117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35840, while the sum is 38.

The square root of 85844117 is about 9265.2100353959. The cubic root of 85844117 is about 441.1336417931.

The spelling of 85844117 in words is "eighty-five million, eight hundred forty-four thousand, one hundred seventeen".