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82163 is a prime number
BaseRepresentation
bin10100000011110011
311011201002
4110003303
510112123
61432215
7461354
oct240363
9134632
1082163
1156804
123b66b
132b523
1421d2b
1519528
hex140f3

82163 has 2 divisors, whose sum is σ = 82164. Its totient is φ = 82162.

The previous prime is 82153. The next prime is 82171. The reversal of 82163 is 36128.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82163 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82163.

It is not a weakly prime, because it can be changed into another prime (82153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41081 + 41082.

It is an arithmetic number, because the mean of its divisors is an integer number (41082).

282163 is an apocalyptic number.

82163 is a deficient number, since it is larger than the sum of its proper divisors (1).

82163 is an equidigital number, since it uses as much as digits as its factorization.

82163 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 82163 is about 286.6408903140. The cubic root of 82163 is about 43.4735824096.

It can be divided in two parts, 82 and 163, that multiplied together give a triangular number (13366 = T163).

The spelling of 82163 in words is "eighty-two thousand, one hundred sixty-three".