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85824217 is a prime number
BaseRepresentation
bin1010001110110…
…01001011011001
312222111022200201
411013121023121
5133432333332
612303302201
72061331243
oct507311331
9188438621
1085824217
114449a006
12248aa961
1314a1c37b
14b581093
1578045e7
hex51d92d9

85824217 has 2 divisors, whose sum is σ = 85824218. Its totient is φ = 85824216.

The previous prime is 85824199. The next prime is 85824229. The reversal of 85824217 is 71242858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 5470921 = 8964^2 + 2339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85824217 is a prime.

It is not a weakly prime, because it can be changed into another prime (85824317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42912108 + 42912109.

It is an arithmetic number, because the mean of its divisors is an integer number (42912109).

Almost surely, 285824217 is an apocalyptic number.

It is an amenable number.

85824217 is a deficient number, since it is larger than the sum of its proper divisors (1).

85824217 is an equidigital number, since it uses as much as digits as its factorization.

85824217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 35840, while the sum is 37.

The square root of 85824217 is about 9264.1360633359. The cubic root of 85824217 is about 441.0995519482.

The spelling of 85824217 in words is "eighty-five million, eight hundred twenty-four thousand, two hundred seventeen".