Search a number
-
+
65660417 is a prime number
BaseRepresentation
bin1111101001111…
…0011000000001
311120112220011022
43322132120001
5113302113132
610303155225
71425050534
oct372363001
9146486138
1065660417
1134077709
1219ba5b15
13107ac524
148a12a1b
155b6ee12
hex3e9e601

65660417 has 2 divisors, whose sum is σ = 65660418. Its totient is φ = 65660416.

The previous prime is 65660369. The next prime is 65660429. The reversal of 65660417 is 71406656.

65660417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50922496 + 14737921 = 7136^2 + 3839^2 .

It is a cyclic number.

It is not a de Polignac number, because 65660417 - 224 = 48883201 is a prime.

It is a super-2 number, since 2×656604172 = 8622580721227778, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65660467) 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, 32830208 + 32830209.

It is an arithmetic number, because the mean of its divisors is an integer number (32830209).

Almost surely, 265660417 is an apocalyptic number.

It is an amenable number.

65660417 is a deficient number, since it is larger than the sum of its proper divisors (1).

65660417 is an equidigital number, since it uses as much as digits as its factorization.

65660417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 65660417 is about 8103.1115628504. Note that the first 3 decimals coincide. The cubic root of 65660417 is about 403.4297107451.

The spelling of 65660417 in words is "sixty-five million, six hundred sixty thousand, four hundred seventeen".