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83536009 is a prime number
BaseRepresentation
bin1001111101010…
…10100010001001
312211012001212021
410332222202021
5132341123014
612142244441
72033021134
oct476524211
9184161767
1083536009
1143176927
1223b86721
13143ca9bb
14b14721b
157501624
hex4faa889

83536009 has 2 divisors, whose sum is σ = 83536010. Its totient is φ = 83536008.

The previous prime is 83535937. The next prime is 83536031. The reversal of 83536009 is 90063538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81721600 + 1814409 = 9040^2 + 1347^2 .

It is a cyclic number.

It is not a de Polignac number, because 83536009 - 215 = 83503241 is a prime.

It is equal to p4863562 and since 83536009 and 4863562 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (83536039) 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, 41768004 + 41768005.

It is an arithmetic number, because the mean of its divisors is an integer number (41768005).

Almost surely, 283536009 is an apocalyptic number.

It is an amenable number.

83536009 is a deficient number, since it is larger than the sum of its proper divisors (1).

83536009 is an equidigital number, since it uses as much as digits as its factorization.

83536009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 83536009 is about 9139.8035536876. The cubic root of 83536009 is about 437.1440526861.

The spelling of 83536009 in words is "eighty-three million, five hundred thirty-six thousand, nine".