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813828161 is a prime number
BaseRepresentation
bin110000100000100…
…000100001000001
32002201100202100202
4300200200201001
53131320000121
6212431054545
726111265566
oct6040404101
92081322322
10813828161
11388426163
121a8671455
13cc7b5033
147a12886d
154b6a940b
hex30820841

813828161 has 2 divisors, whose sum is σ = 813828162. Its totient is φ = 813828160.

The previous prime is 813828149. The next prime is 813828179. The reversal of 813828161 is 161828318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 668481025 + 145347136 = 25855^2 + 12056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-813828161 is a prime.

It is not a weakly prime, because it can be changed into another prime (813828101) 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, 406914080 + 406914081.

It is an arithmetic number, because the mean of its divisors is an integer number (406914081).

Almost surely, 2813828161 is an apocalyptic number.

It is an amenable number.

813828161 is a deficient number, since it is larger than the sum of its proper divisors (1).

813828161 is an equidigital number, since it uses as much as digits as its factorization.

813828161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 38.

The square root of 813828161 is about 28527.6735995068. The cubic root of 813828161 is about 933.6359612036.

The spelling of 813828161 in words is "eight hundred thirteen million, eight hundred twenty-eight thousand, one hundred sixty-one".