Search a number
-
+
64123529 is a prime number
BaseRepresentation
bin1111010010011…
…1001010001001
311110122210221112
43310213022021
5112403423104
610210220105
71406020031
oct364471211
9143583845
1064123529
1133217a58
1219584635
1310391b22
1487328c1
15596986e
hex3d27289

64123529 has 2 divisors, whose sum is σ = 64123530. Its totient is φ = 64123528.

The previous prime is 64123513. The next prime is 64123547. The reversal of 64123529 is 92532146.

It is a happy number.

64123529 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., 62805625 + 1317904 = 7925^2 + 1148^2 .

It is a cyclic number.

It is not a de Polignac number, because 64123529 - 24 = 64123513 is a prime.

It is a super-3 number, since 3×641235293 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64123495 and 64123504.

It is not a weakly prime, because it can be changed into another prime (64123729) 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, 32061764 + 32061765.

It is an arithmetic number, because the mean of its divisors is an integer number (32061765).

Almost surely, 264123529 is an apocalyptic number.

It is an amenable number.

64123529 is a deficient number, since it is larger than the sum of its proper divisors (1).

64123529 is an equidigital number, since it uses as much as digits as its factorization.

64123529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 64123529 is about 8007.7168406482. The cubic root of 64123529 is about 400.2571866854.

The spelling of 64123529 in words is "sixty-four million, one hundred twenty-three thousand, five hundred twenty-nine".