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82008677 is a prime number
BaseRepresentation
bin1001110001101…
…01101001100101
312201022110202102
410320311221211
5131443234202
612045421445
72014030232
oct470655145
9181273672
1082008677
1142323373
122356a885
1313cb475a
14ac6a789
1572edd02
hex4e35a65

82008677 has 2 divisors, whose sum is σ = 82008678. Its totient is φ = 82008676.

The previous prime is 82008653. The next prime is 82008679. The reversal of 82008677 is 77680028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46594276 + 35414401 = 6826^2 + 5951^2 .

It is a cyclic number.

It is not a de Polignac number, because 82008677 - 214 = 81992293 is a prime.

Together with 82008679, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p4779902 and since 82008677 and 4779902 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82008677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82008679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41004338 + 41004339.

It is an arithmetic number, because the mean of its divisors is an integer number (41004339).

Almost surely, 282008677 is an apocalyptic number.

It is an amenable number.

82008677 is a deficient number, since it is larger than the sum of its proper divisors (1).

82008677 is an equidigital number, since it uses as much as digits as its factorization.

82008677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 82008677 is about 9055.8642326395. The cubic root of 82008677 is about 434.4634720469.

The spelling of 82008677 in words is "eighty-two million, eight thousand, six hundred seventy-seven".