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823830989 is a prime number
BaseRepresentation
bin110001000110101…
…010100111001101
32010102011221122212
4301012222213031
53141400042424
6213425320205
726262306422
oct6106524715
92112157585
10823830989
11393038463
121aba96065
131018a7c77
147b5add49
154c4d310e
hex311aa9cd

823830989 has 2 divisors, whose sum is σ = 823830990. Its totient is φ = 823830988.

The previous prime is 823830971. The next prime is 823831007. The reversal of 823830989 is 989038328.

It is a happy number.

823830989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (823830971) and next prime (823831007).

It can be written as a sum of positive squares in only one way, i.e., 625500100 + 198330889 = 25010^2 + 14083^2 .

It is a cyclic number.

It is not a de Polignac number, because 823830989 - 220 = 822782413 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823830949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411915494 + 411915495.

It is an arithmetic number, because the mean of its divisors is an integer number (411915495).

Almost surely, 2823830989 is an apocalyptic number.

It is an amenable number.

823830989 is a deficient number, since it is larger than the sum of its proper divisors (1).

823830989 is an equidigital number, since it uses as much as digits as its factorization.

823830989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 823830989 is about 28702.4561492566. The cubic root of 823830989 is about 937.4455274780.

The spelling of 823830989 in words is "eight hundred twenty-three million, eight hundred thirty thousand, nine hundred eighty-nine".