Search a number
-
+
36108937 is a prime number
BaseRepresentation
bin1000100110111…
…1101010001001
32111221112011001
42021233222021
533220441222
63325535001
7615630604
oct211575211
974845131
1036108937
11194231a7
1210114461
137633747
144b1d33b
153283e27
hex226fa89

36108937 has 2 divisors, whose sum is σ = 36108938. Its totient is φ = 36108936.

The previous prime is 36108931. The next prime is 36108959. The reversal of 36108937 is 73980163.

36108937 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., 24960016 + 11148921 = 4996^2 + 3339^2 .

It is a cyclic number.

It is not a de Polignac number, because 36108937 - 215 = 36076169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36108896 and 36108905.

It is not a weakly prime, because it can be changed into another prime (36108931) 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, 18054468 + 18054469.

It is an arithmetic number, because the mean of its divisors is an integer number (18054469).

Almost surely, 236108937 is an apocalyptic number.

It is an amenable number.

36108937 is a deficient number, since it is larger than the sum of its proper divisors (1).

36108937 is an equidigital number, since it uses as much as digits as its factorization.

36108937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 36108937 is about 6009.0712260715. The cubic root of 36108937 is about 330.5254469586.

The spelling of 36108937 in words is "thirty-six million, one hundred eight thousand, nine hundred thirty-seven".