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65381137 is a prime number
BaseRepresentation
bin1111100101101…
…0001100010001
311120000201001121
43321122030101
5113214144022
610253202241
71422505363
oct371321421
9146021047
1065381137
11339a68a8
1219a90381
1310712383
14897cd33
155b172c7
hex3e5a311

65381137 has 2 divisors, whose sum is σ = 65381138. Its totient is φ = 65381136.

The previous prime is 65381119. The next prime is 65381159. The reversal of 65381137 is 73118356.

65381137 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., 43441281 + 21939856 = 6591^2 + 4684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65381137 is a prime.

It is not a weakly prime, because it can be changed into another prime (65381117) 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, 32690568 + 32690569.

It is an arithmetic number, because the mean of its divisors is an integer number (32690569).

Almost surely, 265381137 is an apocalyptic number.

It is an amenable number.

65381137 is a deficient number, since it is larger than the sum of its proper divisors (1).

65381137 is an equidigital number, since it uses as much as digits as its factorization.

65381137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 34.

The square root of 65381137 is about 8085.8603129166. The cubic root of 65381137 is about 402.8569152588.

The spelling of 65381137 in words is "sixty-five million, three hundred eighty-one thousand, one hundred thirty-seven".