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64567441 is a prime number
BaseRepresentation
bin1111011001001…
…1100010010001
311111111100212201
43312103202101
5113012124231
610223523201
71412546161
oct366234221
9144440781
1064567441
11334a0524
1219759501
13104b8bb3
14880a5a1
155a06161
hex3d93891

64567441 has 2 divisors, whose sum is σ = 64567442. Its totient is φ = 64567440.

The previous prime is 64567439. The next prime is 64567457. The reversal of 64567441 is 14476546.

64567441 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., 54982225 + 9585216 = 7415^2 + 3096^2 .

It is a cyclic number.

It is not a de Polignac number, because 64567441 - 21 = 64567439 is a prime.

Together with 64567439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 64567441.

It is not a weakly prime, because it can be changed into another prime (64567421) 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, 32283720 + 32283721.

It is an arithmetic number, because the mean of its divisors is an integer number (32283721).

Almost surely, 264567441 is an apocalyptic number.

It is an amenable number.

64567441 is a deficient number, since it is larger than the sum of its proper divisors (1).

64567441 is an equidigital number, since it uses as much as digits as its factorization.

64567441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 37.

The square root of 64567441 is about 8035.3867984062. The cubic root of 64567441 is about 401.1786920510.

It can be divided in two parts, 645 and 67441, that added together give a palindrome (68086).

The spelling of 64567441 in words is "sixty-four million, five hundred sixty-seven thousand, four hundred forty-one".