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820614913 is a prime number
BaseRepresentation
bin110000111010011…
…001011100000001
32010012010120000221
4300322121130001
53140034134123
6213232343041
726223053206
oct6072313401
92105116027
10820614913
11391241148
121aa9a4a81
13101020171
147adb3cad
154c09a25d
hex30e99701

820614913 has 2 divisors, whose sum is σ = 820614914. Its totient is φ = 820614912.

The previous prime is 820614911. The next prime is 820614931. The reversal of 820614913 is 319416028.

Together with next prime (820614931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 471410944 + 349203969 = 21712^2 + 18687^2 .

It is a cyclic number.

It is not a de Polignac number, because 820614913 - 21 = 820614911 is a prime.

Together with 820614911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (820614911) 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, 410307456 + 410307457.

It is an arithmetic number, because the mean of its divisors is an integer number (410307457).

Almost surely, 2820614913 is an apocalyptic number.

It is an amenable number.

820614913 is a deficient number, since it is larger than the sum of its proper divisors (1).

820614913 is an equidigital number, since it uses as much as digits as its factorization.

820614913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 820614913 is about 28646.3769611447. The cubic root of 820614913 is about 936.2240682941.

The spelling of 820614913 in words is "eight hundred twenty million, six hundred fourteen thousand, nine hundred thirteen".