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65084081 is a prime number
BaseRepresentation
bin1111100001000…
…1101010110001
311112110121120112
43320101222301
5113130142311
610242551105
71420130336
oct370215261
9145417515
1065084081
11338136a7
1219968495
131063a0ba
14890298d
155aa928b
hex3e11ab1

65084081 has 2 divisors, whose sum is σ = 65084082. Its totient is φ = 65084080.

The previous prime is 65084077. The next prime is 65084083. The reversal of 65084081 is 18048056.

65084081 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., 52417600 + 12666481 = 7240^2 + 3559^2 .

It is a cyclic number.

It is not a de Polignac number, because 65084081 - 22 = 65084077 is a prime.

It is a super-2 number, since 2×650840812 = 8471875199229122, which contains 22 as substring.

Together with 65084083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65084083) 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, 32542040 + 32542041.

It is an arithmetic number, because the mean of its divisors is an integer number (32542041).

Almost surely, 265084081 is an apocalyptic number.

It is an amenable number.

65084081 is a deficient number, since it is larger than the sum of its proper divisors (1).

65084081 is an equidigital number, since it uses as much as digits as its factorization.

65084081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 65084081 is about 8067.4705453444. The cubic root of 65084081 is about 402.2458686682.

The spelling of 65084081 in words is "sixty-five million, eighty-four thousand, eighty-one".