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84164609 is a prime number
BaseRepresentation
bin1010000010001…
…00000000000001
312212101000010202
411001010000001
5133021231414
612203534545
72041246604
oct501040001
9185330122
1084164609
1143566131
122422a455
131458ab59
14b26c33b
1575c79de
hex5044001

84164609 has 2 divisors, whose sum is σ = 84164610. Its totient is φ = 84164608.

The previous prime is 84164593. The next prime is 84164627. The reversal of 84164609 is 90646148.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78712384 + 5452225 = 8872^2 + 2335^2 .

It is a cyclic number.

It is not a de Polignac number, because 84164609 - 24 = 84164593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (84164629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42082304 + 42082305.

It is an arithmetic number, because the mean of its divisors is an integer number (42082305).

It is a Proth number, since it is equal to 5137 ⋅ 214 + 1 and 5137 < 214.

Almost surely, 284164609 is an apocalyptic number.

It is an amenable number.

84164609 is a deficient number, since it is larger than the sum of its proper divisors (1).

84164609 is an equidigital number, since it uses as much as digits as its factorization.

84164609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 84164609 is about 9174.1271519420. The cubic root of 84164609 is about 438.2378020338.

The spelling of 84164609 in words is "eighty-four million, one hundred sixty-four thousand, six hundred nine".