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163841 is a prime number
BaseRepresentation
bin101000000000000001
322022202012
4220000001
520220331
63302305
71251446
oct500001
9268665
10163841
11102107
127a995
1359762
14439cd
153382b
hex28001

163841 has 2 divisors, whose sum is σ = 163842. Its totient is φ = 163840.

The previous prime is 163819. The next prime is 163847. The reversal of 163841 is 148361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 625 = 404^2 + 25^2 .

It is an emirp because it is prime and its reverse (148361) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 163841 - 214 = 147457 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (163847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81920 + 81921.

It is an arithmetic number, because the mean of its divisors is an integer number (81921).

163841 is a Friedman number, since it can be written as 1+(8*4)^3*(6-1), using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 5 ⋅ 215 + 1 and 5 < 215.

2163841 is an apocalyptic number.

It is an amenable number.

163841 is a deficient number, since it is larger than the sum of its proper divisors (1).

163841 is an equidigital number, since it uses as much as digits as its factorization.

163841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 163841 is about 404.7727757644. The cubic root of 163841 is about 54.7193416200.

The spelling of 163841 in words is "one hundred sixty-three thousand, eight hundred forty-one".