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818328961 is a prime number
BaseRepresentation
bin110000110001101…
…011010110000001
32010000211102022001
4300301223112001
53133443011321
6213111344001
726164452502
oct6061532601
92100742261
10818328961
1138aa1a72a
121aa082001
131006cc828
147a97aba9
154bc97c91
hex30c6b581

818328961 has 2 divisors, whose sum is σ = 818328962. Its totient is φ = 818328960.

The previous prime is 818328943. The next prime is 818329019. The reversal of 818328961 is 169823818.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 796650625 + 21678336 = 28225^2 + 4656^2 .

It is a cyclic number.

It is not a de Polignac number, because 818328961 - 29 = 818328449 is a prime.

It is a super-2 number, since 2×8183289612 = 1339324576822679042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (818328941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409164480 + 409164481.

It is an arithmetic number, because the mean of its divisors is an integer number (409164481).

Almost surely, 2818328961 is an apocalyptic number.

It is an amenable number.

818328961 is a deficient number, since it is larger than the sum of its proper divisors (1).

818328961 is an equidigital number, since it uses as much as digits as its factorization.

818328961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 46.

The square root of 818328961 is about 28606.4496398976. The cubic root of 818328961 is about 935.3539266550.

The spelling of 818328961 in words is "eight hundred eighteen million, three hundred twenty-eight thousand, nine hundred sixty-one".