Search a number
-
+
64005709 is a prime number
BaseRepresentation
bin1111010000101…
…0011001001101
311110102211022211
43310022121031
5112341140314
610203510421
71405016365
oct364123115
9143384284
1064005709
1133147489
1219528411
1310350301
1487019a5
1559449c4
hex3d0a64d

64005709 has 2 divisors, whose sum is σ = 64005710. Its totient is φ = 64005708.

The previous prime is 64005707. The next prime is 64005727. The reversal of 64005709 is 90750046.

64005709 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., 57805609 + 6200100 = 7603^2 + 2490^2 .

It is a cyclic number.

It is not a de Polignac number, because 64005709 - 21 = 64005707 is a prime.

Together with 64005707, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64005707) 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, 32002854 + 32002855.

It is an arithmetic number, because the mean of its divisors is an integer number (32002855).

Almost surely, 264005709 is an apocalyptic number.

It is an amenable number.

64005709 is a deficient number, since it is larger than the sum of its proper divisors (1).

64005709 is an equidigital number, since it uses as much as digits as its factorization.

64005709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 64005709 is about 8000.3568045432. The cubic root of 64005709 is about 400.0118933964.

The spelling of 64005709 in words is "sixty-four million, five thousand, seven hundred nine".