Search a number
-
+
65088641 is a prime number
BaseRepresentation
bin1111100001001…
…0110010000001
311112110211211102
43320102302001
5113130314031
610243024145
71420146542
oct370226201
9145424742
1065088641
1133817072
121996b055
131063c1b7
1489044c9
155aaa7cb
hex3e12c81

65088641 has 2 divisors, whose sum is σ = 65088642. Its totient is φ = 65088640.

The previous prime is 65088619. The next prime is 65088679. The reversal of 65088641 is 14688056.

It is an a-pointer prime, because the next prime (65088679) can be obtained adding 65088641 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35058241 + 30030400 = 5921^2 + 5480^2 .

It is a cyclic number.

It is not a de Polignac number, because 65088641 - 26 = 65088577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65088595 and 65088604.

It is not a weakly prime, because it can be changed into another prime (65088241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32544320 + 32544321.

It is an arithmetic number, because the mean of its divisors is an integer number (32544321).

Almost surely, 265088641 is an apocalyptic number.

It is an amenable number.

65088641 is a deficient number, since it is larger than the sum of its proper divisors (1).

65088641 is an equidigital number, since it uses as much as digits as its factorization.

65088641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 65088641 is about 8067.7531568585. The cubic root of 65088641 is about 402.2552626618.

The spelling of 65088641 in words is "sixty-five million, eighty-eight thousand, six hundred forty-one".