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36168037 is a prime number
BaseRepresentation
bin1000100111111…
…0000101100101
32112001112012221
42021332011211
533224334122
63331112341
7616265113
oct211760545
975045187
1036168037
1119463644
12101426b1
137654609
144b36ab3
1532966c7
hex227e165

36168037 has 2 divisors, whose sum is σ = 36168038. Its totient is φ = 36168036.

The previous prime is 36167987. The next prime is 36168043. The reversal of 36168037 is 73086163.

36168037 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., 26718561 + 9449476 = 5169^2 + 3074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36168037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36167993 and 36168011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36168337) 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, 18084018 + 18084019.

It is an arithmetic number, because the mean of its divisors is an integer number (18084019).

Almost surely, 236168037 is an apocalyptic number.

It is an amenable number.

36168037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36168037 is an equidigital number, since it uses as much as digits as its factorization.

36168037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 36168037 is about 6013.9867808302. The cubic root of 36168037 is about 330.7056738682.

The spelling of 36168037 in words is "thirty-six million, one hundred sixty-eight thousand, thirty-seven".