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82536301 is a prime number
BaseRepresentation
bin1001110101101…
…10011101101101
312202022021112001
410322312131231
5132112130201
612105012301
72021355421
oct472663555
9182267461
1082536301
1142653821
1223784091
131413a963
14ad66b81
1573a5301
hex4eb676d

82536301 has 2 divisors, whose sum is σ = 82536302. Its totient is φ = 82536300.

The previous prime is 82536287. The next prime is 82536331. The reversal of 82536301 is 10363528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74132100 + 8404201 = 8610^2 + 2899^2 .

It is a cyclic number.

It is not a de Polignac number, because 82536301 - 211 = 82534253 is a prime.

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 82536301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82536331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41268150 + 41268151.

It is an arithmetic number, because the mean of its divisors is an integer number (41268151).

Almost surely, 282536301 is an apocalyptic number.

It is an amenable number.

82536301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82536301 is an equidigital number, since it uses as much as digits as its factorization.

82536301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 82536301 is about 9084.9491468032. The cubic root of 82536301 is about 435.3932252647.

Adding to 82536301 its reverse (10363528), we get a palindrome (92899829).

The spelling of 82536301 in words is "eighty-two million, five hundred thirty-six thousand, three hundred one".