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821323147 is a prime number
BaseRepresentation
bin110000111101000…
…110010110001011
32010020110112112211
4300331012112023
53140224320042
6213255445551
726232063061
oct6075062613
92106415484
10821323147
11391685267
121ab0868b7
1310120a638
147b11a031
154c18a017
hex30f4658b

821323147 has 2 divisors, whose sum is σ = 821323148. Its totient is φ = 821323146.

The previous prime is 821323117. The next prime is 821323163. The reversal of 821323147 is 741323128.

821323147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-821323147 is a prime.

It is not a weakly prime, because it can be changed into another prime (821323117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410661573 + 410661574.

It is an arithmetic number, because the mean of its divisors is an integer number (410661574).

Almost surely, 2821323147 is an apocalyptic number.

821323147 is a deficient number, since it is larger than the sum of its proper divisors (1).

821323147 is an equidigital number, since it uses as much as digits as its factorization.

821323147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 821323147 is about 28658.7359630532. The cubic root of 821323147 is about 936.4933277824.

The spelling of 821323147 in words is "eight hundred twenty-one million, three hundred twenty-three thousand, one hundred forty-seven".