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82567 is a prime number
BaseRepresentation
bin10100001010000111
311012021001
4110022013
510120232
61434131
7462502
oct241207
9135231
1082567
1157041
123b947
132b774
1422139
15196e7
hex14287

82567 has 2 divisors, whose sum is σ = 82568. Its totient is φ = 82566.

The previous prime is 82561. The next prime is 82571. The reversal of 82567 is 76528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82567 - 23 = 82559 is a prime.

82567 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41283 + 41284.

It is an arithmetic number, because the mean of its divisors is an integer number (41284).

282567 is an apocalyptic number.

82567 is a deficient number, since it is larger than the sum of its proper divisors (1).

82567 is an equidigital number, since it uses as much as digits as its factorization.

82567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 28.

The square root of 82567 is about 287.3447406862. The cubic root of 82567 is about 43.5447199414.

The spelling of 82567 in words is "eighty-two thousand, five hundred sixty-seven".