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81584641 is a prime number
BaseRepresentation
bin1001101110011…
…10001000000001
312200111221002101
410313032020001
5131341202031
612032350401
72010313045
oct467161001
9180457071
1081584641
1142063826
12233a5401
1313b96748
14ab9a025
157268361
hex4dce201

81584641 has 2 divisors, whose sum is σ = 81584642. Its totient is φ = 81584640.

The previous prime is 81584623. The next prime is 81584681. The reversal of 81584641 is 14648518.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78694641 + 2890000 = 8871^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 81584641 - 211 = 81582593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81584641.

It is not a weakly prime, because it can be changed into another prime (81584681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40792320 + 40792321.

It is an arithmetic number, because the mean of its divisors is an integer number (40792321).

Almost surely, 281584641 is an apocalyptic number.

It is an amenable number.

81584641 is a deficient number, since it is larger than the sum of its proper divisors (1).

81584641 is an equidigital number, since it uses as much as digits as its factorization.

81584641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 37.

The square root of 81584641 is about 9032.4216575623. The cubic root of 81584641 is about 433.7133620193.

The spelling of 81584641 in words is "eighty-one million, five hundred eighty-four thousand, six hundred forty-one".