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36616841 is a prime number
BaseRepresentation
bin1000101110101…
…1101010001001
32112220022212022
42023223222021
533333214331
63344454225
7623144432
oct213535211
975808768
1036616841
111973a858
121031a375
137780991
144c12489
15333467b
hex22eba89

36616841 has 2 divisors, whose sum is σ = 36616842. Its totient is φ = 36616840.

The previous prime is 36616837. The next prime is 36616849. The reversal of 36616841 is 14861663.

36616841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33304441 + 3312400 = 5771^2 + 1820^2 .

It is a cyclic number.

It is not a de Polignac number, because 36616841 - 22 = 36616837 is a prime.

It is a super-3 number, since 3×366168413 (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (36616849) 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, 18308420 + 18308421.

It is an arithmetic number, because the mean of its divisors is an integer number (18308421).

Almost surely, 236616841 is an apocalyptic number.

It is an amenable number.

36616841 is a deficient number, since it is larger than the sum of its proper divisors (1).

36616841 is an equidigital number, since it uses as much as digits as its factorization.

36616841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 35.

The square root of 36616841 is about 6051.1850905422. The cubic root of 36616841 is about 332.0679476982.

The spelling of 36616841 in words is "thirty-six million, six hundred sixteen thousand, eight hundred forty-one".