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82687673 is a prime number
BaseRepresentation
bin1001110110110…
…11011010111001
312202120222011102
410323123122321
5132132001143
612112141145
72022555635
oct473333271
9182528142
1082687673
1142747522
12238377b5
1314191823
14ada5dc5
1573d50b8
hex4edb6b9

82687673 has 2 divisors, whose sum is σ = 82687674. Its totient is φ = 82687672.

The previous prime is 82687651. The next prime is 82687681. The reversal of 82687673 is 37678628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67108864 + 15578809 = 8192^2 + 3947^2 .

It is a cyclic number.

It is not a de Polignac number, because 82687673 - 28 = 82687417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82687603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41343836 + 41343837.

It is an arithmetic number, because the mean of its divisors is an integer number (41343837).

Almost surely, 282687673 is an apocalyptic number.

It is an amenable number.

82687673 is a deficient number, since it is larger than the sum of its proper divisors (1).

82687673 is an equidigital number, since it uses as much as digits as its factorization.

82687673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 677376, while the sum is 47.

The square root of 82687673 is about 9093.2762522646. The cubic root of 82687673 is about 435.6592338477.

The spelling of 82687673 in words is "eighty-two million, six hundred eighty-seven thousand, six hundred seventy-three".