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65685857 is a prime number
BaseRepresentation
bin1111101010010…
…0100101100001
311120121012001112
43322210211201
5113303421412
610303513105
71425214646
oct372444541
9146535045
1065685857
1134094836
1219bb8795
13107bac93
148a1bdcd
155b77722
hex3ea4961

65685857 has 2 divisors, whose sum is σ = 65685858. Its totient is φ = 65685856.

The previous prime is 65685799. The next prime is 65685901. The reversal of 65685857 is 75858656.

65685857 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., 61528336 + 4157521 = 7844^2 + 2039^2 .

It is a cyclic number.

It is not a de Polignac number, because 65685857 - 28 = 65685601 is a prime.

It is a super-3 number, since 3×656858573 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65685757) 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, 32842928 + 32842929.

It is an arithmetic number, because the mean of its divisors is an integer number (32842929).

Almost surely, 265685857 is an apocalyptic number.

It is an amenable number.

65685857 is a deficient number, since it is larger than the sum of its proper divisors (1).

65685857 is an equidigital number, since it uses as much as digits as its factorization.

65685857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016000, while the sum is 50.

The square root of 65685857 is about 8104.6811781834. The cubic root of 65685857 is about 403.4818067013.

The spelling of 65685857 in words is "sixty-five million, six hundred eighty-five thousand, eight hundred fifty-seven".