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64205329 is a prime number
BaseRepresentation
bin1111010011101…
…1001000010001
311110210222011011
43310323020101
5112414032304
610212050521
71406510356
oct364731021
9143728134
1064205329
1133273461
1219603a41
13103c0126
14875462d
155983c04
hex3d3b211

64205329 has 2 divisors, whose sum is σ = 64205330. Its totient is φ = 64205328.

The previous prime is 64205293. The next prime is 64205353. The reversal of 64205329 is 92350246.

64205329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (64205293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55532304 + 8673025 = 7452^2 + 2945^2 .

It is a cyclic number.

It is not a de Polignac number, because 64205329 - 27 = 64205201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64205329.

It is not a weakly prime, because it can be changed into another prime (64205369) 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, 32102664 + 32102665.

It is an arithmetic number, because the mean of its divisors is an integer number (32102665).

Almost surely, 264205329 is an apocalyptic number.

It is an amenable number.

64205329 is a deficient number, since it is larger than the sum of its proper divisors (1).

64205329 is an equidigital number, since it uses as much as digits as its factorization.

64205329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 64205329 is about 8012.8227860099. The cubic root of 64205329 is about 400.4273120984.

The spelling of 64205329 in words is "sixty-four million, two hundred five thousand, three hundred twenty-nine".