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823641713 is a prime number
BaseRepresentation
bin110001000101111…
…100011001110001
32010101211100000122
4301011330121301
53141323013323
6213421300025
726260560536
oct6105743161
92111740018
10823641713
11392a19234
121aba04615
1310183ca7b
147b560d8d
154c496ec8
hex3117c671

823641713 has 2 divisors, whose sum is σ = 823641714. Its totient is φ = 823641712.

The previous prime is 823641649. The next prime is 823641727. The reversal of 823641713 is 317146328.

823641713 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 can be written as a sum of positive squares in only one way, i.e., 823517809 + 123904 = 28697^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 823641713 - 26 = 823641649 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (823641733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411820856 + 411820857.

It is an arithmetic number, because the mean of its divisors is an integer number (411820857).

Almost surely, 2823641713 is an apocalyptic number.

It is an amenable number.

823641713 is a deficient number, since it is larger than the sum of its proper divisors (1).

823641713 is an equidigital number, since it uses as much as digits as its factorization.

823641713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 823641713 is about 28699.1587507369. The cubic root of 823641713 is about 937.3737289608.

The spelling of 823641713 in words is "eight hundred twenty-three million, six hundred forty-one thousand, seven hundred thirteen".