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36884137 is a prime number
BaseRepresentation
bin1000110010110…
…0111010101001
32120101220112011
42030230322221
533420243022
63354315521
7625336633
oct214547251
976356464
1036884137
1119902664
1210428ba1
137845544
144c81a53
153388977
hex232cea9

36884137 has 2 divisors, whose sum is σ = 36884138. Its totient is φ = 36884136.

The previous prime is 36884123. The next prime is 36884161. The reversal of 36884137 is 73148863.

36884137 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., 19545241 + 17338896 = 4421^2 + 4164^2 .

It is a cyclic number.

It is not a de Polignac number, because 36884137 - 27 = 36884009 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 36884137.

It is not a weakly prime, because it can be changed into another prime (36804137) 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, 18442068 + 18442069.

It is an arithmetic number, because the mean of its divisors is an integer number (18442069).

Almost surely, 236884137 is an apocalyptic number.

It is an amenable number.

36884137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36884137 is an equidigital number, since it uses as much as digits as its factorization.

36884137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 40.

The square root of 36884137 is about 6073.2311828219. The cubic root of 36884137 is about 332.8740005532.

The spelling of 36884137 in words is "thirty-six million, eight hundred eighty-four thousand, one hundred thirty-seven".