Search a number
-
+
85631761 is a prime number
BaseRepresentation
bin1010001101010…
…10001100010001
312222010112200201
411012222030101
5133410204021
612255215201
72056600165
oct506521421
9188115621
1085631761
1144378456
1224817501
13149828a7
14b530ca5
1577b7591
hex51aa311

85631761 has 2 divisors, whose sum is σ = 85631762. Its totient is φ = 85631760.

The previous prime is 85631759. The next prime is 85631807. The reversal of 85631761 is 16713658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65918161 + 19713600 = 8119^2 + 4440^2 .

It is a cyclic number.

It is not a de Polignac number, because 85631761 - 21 = 85631759 is a prime.

It is a super-2 number, since 2×856317612 = 14665596983922242, which contains 22 as substring.

Together with 85631759, 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 85631761.

It is not a weakly prime, because it can be changed into another prime (85631731) 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, 42815880 + 42815881.

It is an arithmetic number, because the mean of its divisors is an integer number (42815881).

Almost surely, 285631761 is an apocalyptic number.

It is an amenable number.

85631761 is a deficient number, since it is larger than the sum of its proper divisors (1).

85631761 is an equidigital number, since it uses as much as digits as its factorization.

85631761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 85631761 is about 9253.7430805053. The cubic root of 85631761 is about 440.7695915054.

The spelling of 85631761 in words is "eighty-five million, six hundred thirty-one thousand, seven hundred sixty-one".