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12823009 is a prime number
BaseRepresentation
bin110000111010…
…100111100001
3220010110212021
4300322213201
511240314014
61134501441
7213664603
oct60724741
926113767
1012823009
117269131
124364881
13286c7a4
1419bb173
1511d4624
hexc3a9e1

12823009 has 2 divisors, whose sum is σ = 12823010. Its totient is φ = 12823008.

The previous prime is 12822989. The next prime is 12823021. The reversal of 12823009 is 90032821.

12823009 is digitally balanced in base 2 and base 3, because in such bases 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., 10705984 + 2117025 = 3272^2 + 1455^2 .

It is a cyclic number.

It is not a de Polignac number, because 12823009 - 27 = 12822881 is a prime.

It is not a weakly prime, because it can be changed into another prime (12823039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6411504 + 6411505.

It is an arithmetic number, because the mean of its divisors is an integer number (6411505).

Almost surely, 212823009 is an apocalyptic number.

It is an amenable number.

12823009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12823009 is an equidigital number, since it uses as much as digits as its factorization.

12823009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12823009 is about 3580.9229257274. The cubic root of 12823009 is about 234.0614991642.

The spelling of 12823009 in words is "twelve million, eight hundred twenty-three thousand, nine".