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827639369 is a prime number
BaseRepresentation
bin110001010101001…
…100011001001001
32010200100102202222
4301111030121021
53143333424434
6214043103425
726336550524
oct6125143111
92120312688
10827639369
113951a9787
121b1211b75
1310260c54b
147bcc1bbb
154c9d672e
hex3154c649

827639369 has 2 divisors, whose sum is σ = 827639370. Its totient is φ = 827639368.

The previous prime is 827639341. The next prime is 827639377. The reversal of 827639369 is 963936728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695113225 + 132526144 = 26365^2 + 11512^2 .

It is a cyclic number.

It is not a de Polignac number, because 827639369 - 212 = 827635273 is a prime.

It is a super-2 number, since 2×8276393692 = 1369973850237436322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 827639369.

It is not a weakly prime, because it can be changed into another prime (827639389) 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, 413819684 + 413819685.

It is an arithmetic number, because the mean of its divisors is an integer number (413819685).

Almost surely, 2827639369 is an apocalyptic number.

It is an amenable number.

827639369 is a deficient number, since it is larger than the sum of its proper divisors (1).

827639369 is an equidigital number, since it uses as much as digits as its factorization.

827639369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328, while the sum is 53.

The square root of 827639369 is about 28768.7220605991. The cubic root of 827639369 is about 938.8878385048.

The spelling of 827639369 in words is "eight hundred twenty-seven million, six hundred thirty-nine thousand, three hundred sixty-nine".