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82086689 is a prime number
BaseRepresentation
bin1001110010010…
…00101100100001
312201110102202202
410321020230201
5132003233224
612051222545
72014503536
oct471105441
9181412682
1082086689
1142376a43
12235a7a55
1314011109
14ac8ad8d
157316eae
hex4e48b21

82086689 has 2 divisors, whose sum is σ = 82086690. Its totient is φ = 82086688.

The previous prime is 82086677. The next prime is 82086691. The reversal of 82086689 is 98668028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80694289 + 1392400 = 8983^2 + 1180^2 .

It is a cyclic number.

It is not a de Polignac number, because 82086689 - 24 = 82086673 is a prime.

Together with 82086691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82086619) 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, 41043344 + 41043345.

It is an arithmetic number, because the mean of its divisors is an integer number (41043345).

Almost surely, 282086689 is an apocalyptic number.

It is an amenable number.

82086689 is a deficient number, since it is larger than the sum of its proper divisors (1).

82086689 is an equidigital number, since it uses as much as digits as its factorization.

82086689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 82086689 is about 9060.1704730099. The cubic root of 82086689 is about 434.6011917131.

The spelling of 82086689 in words is "eighty-two million, eighty-six thousand, six hundred eighty-nine".