Search a number
-
+
36647141 is a prime number
BaseRepresentation
bin1000101111001…
…1000011100101
32112221212102112
42023303003211
533340202031
63345250405
7623331656
oct213630345
975855375
1036647141
11197605a3
1210333a05
1377916cb
144c1d52d
15333d62b
hex22f30e5

36647141 has 2 divisors, whose sum is σ = 36647142. Its totient is φ = 36647140.

The previous prime is 36647129. The next prime is 36647159. The reversal of 36647141 is 14174663.

36647141 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., 36554116 + 93025 = 6046^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 36647141 - 26 = 36647077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36647098 and 36647107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36647111) 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, 18323570 + 18323571.

It is an arithmetic number, because the mean of its divisors is an integer number (18323571).

Almost surely, 236647141 is an apocalyptic number.

It is an amenable number.

36647141 is a deficient number, since it is larger than the sum of its proper divisors (1).

36647141 is an equidigital number, since it uses as much as digits as its factorization.

36647141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 32.

The square root of 36647141 is about 6053.6882146341. The cubic root of 36647141 is about 332.1595165366.

The spelling of 36647141 in words is "thirty-six million, six hundred forty-seven thousand, one hundred forty-one".