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85918769 is a prime number
BaseRepresentation
bin1010001111100…
…00010000110001
312222200010101122
411013300100301
5133443400034
612305312025
72062204016
oct507602061
9188603348
1085918769
1144554052
1224935615
1314a53411
14b5a770d
15782262e
hex51f0431

85918769 has 2 divisors, whose sum is σ = 85918770. Its totient is φ = 85918768.

The previous prime is 85918757. The next prime is 85918771. The reversal of 85918769 is 96781958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85803169 + 115600 = 9263^2 + 340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85918769 is a prime.

It is a super-2 number, since 2×859187692 = 14764069732950722, which contains 22 as substring.

Together with 85918771, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85918769.

It is not a weakly prime, because it can be changed into another prime (85918069) 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, 42959384 + 42959385.

It is an arithmetic number, because the mean of its divisors is an integer number (42959385).

Almost surely, 285918769 is an apocalyptic number.

It is an amenable number.

85918769 is a deficient number, since it is larger than the sum of its proper divisors (1).

85918769 is an equidigital number, since it uses as much as digits as its factorization.

85918769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 53.

The square root of 85918769 is about 9269.2377788036. The cubic root of 85918769 is about 441.2614780323.

The spelling of 85918769 in words is "eighty-five million, nine hundred eighteen thousand, seven hundred sixty-nine".