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36665537 is a prime number
BaseRepresentation
bin1000101111011…
…1100011000001
32112222210122212
42023313203001
533341244122
63345511505
7623436416
oct213674301
975883585
1036665537
11197733a7
1210342595
137799bac
144c2610d
153343ce2
hex22f78c1

36665537 has 2 divisors, whose sum is σ = 36665538. Its totient is φ = 36665536.

The previous prime is 36665513. The next prime is 36665539. The reversal of 36665537 is 73556663.

36665537 is digitally balanced in base 2, 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., 30924721 + 5740816 = 5561^2 + 2396^2 .

It is a cyclic number.

It is not a de Polignac number, because 36665537 - 214 = 36649153 is a prime.

Together with 36665539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36665494 and 36665503.

It is not a weakly prime, because it can be changed into another prime (36665539) 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, 18332768 + 18332769.

It is an arithmetic number, because the mean of its divisors is an integer number (18332769).

Almost surely, 236665537 is an apocalyptic number.

It is an amenable number.

36665537 is a deficient number, since it is larger than the sum of its proper divisors (1).

36665537 is an equidigital number, since it uses as much as digits as its factorization.

36665537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 41.

The square root of 36665537 is about 6055.2074283215. The cubic root of 36665537 is about 332.2150859859.

The spelling of 36665537 in words is "thirty-six million, six hundred sixty-five thousand, five hundred thirty-seven".