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10584001 is a prime number
BaseRepresentation
bin101000010111…
…111111000001
3201220201112001
4220113333001
510202142001
61014504001
7155651101
oct50277701
921821461
1010584001
115a79a0a
123665001
13226762c
141597201
15de1001
hexa17fc1

10584001 has 2 divisors, whose sum is σ = 10584002. Its totient is φ = 10584000.

The previous prime is 10583987. The next prime is 10584011. The reversal of 10584001 is 10048501.

10584001 is digitally balanced in base 3, because in such base 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., 10086976 + 497025 = 3176^2 + 705^2 .

It is an emirp because it is prime and its reverse (10048501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10584001 - 27 = 10583873 is a prime.

It is a super-2 number, since 2×105840012 = 224042154336002, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10584001.

It is not a weakly prime, because it can be changed into another prime (10584011) 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, 5292000 + 5292001.

It is an arithmetic number, because the mean of its divisors is an integer number (5292001).

Almost surely, 210584001 is an apocalyptic number.

It is an amenable number.

10584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584001 is an equidigital number, since it uses as much as digits as its factorization.

10584001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10584001 is about 3253.3061645040. The cubic root of 10584001 is about 219.5583495162.

The spelling of 10584001 in words is "ten million, five hundred eighty-four thousand, one".