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64108129 is a prime number
BaseRepresentation
bin1111010010001…
…1011001100001
311110122000211011
43310203121201
5112402430004
610210020521
71405624111
oct364433141
9143560734
1064108129
1133207428
1219577741
1310387b07
14872b041
155965004
hex3d23661

64108129 has 2 divisors, whose sum is σ = 64108130. Its totient is φ = 64108128.

The previous prime is 64108117. The next prime is 64108181. The reversal of 64108129 is 92180146.

It is a happy number.

64108129 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., 32490000 + 31618129 = 5700^2 + 5623^2 .

It is a cyclic number.

It is not a de Polignac number, because 64108129 - 27 = 64108001 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 64108129.

It is not a weakly prime, because it can be changed into another prime (64108189) 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, 32054064 + 32054065.

It is an arithmetic number, because the mean of its divisors is an integer number (32054065).

Almost surely, 264108129 is an apocalyptic number.

It is an amenable number.

64108129 is a deficient number, since it is larger than the sum of its proper divisors (1).

64108129 is an equidigital number, since it uses as much as digits as its factorization.

64108129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 64108129 is about 8006.7552104457. The cubic root of 64108129 is about 400.2251420039.

The spelling of 64108129 in words is "sixty-four million, one hundred eight thousand, one hundred twenty-nine".