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85631033 is a prime number
BaseRepresentation
bin1010001101010…
…10000000111001
312222010111200202
411012222000321
5133410143113
612255211545
72056565105
oct506520071
9188114622
1085631033
1144377954
1224816bb5
1314982467
14b530905
1577b7258
hex51aa039

85631033 has 2 divisors, whose sum is σ = 85631034. Its totient is φ = 85631032.

The previous prime is 85631003. The next prime is 85631053. The reversal of 85631033 is 33013658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73324969 + 12306064 = 8563^2 + 3508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85631033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85630987 and 85631005.

It is not a weakly prime, because it can be changed into another prime (85631003) 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, 42815516 + 42815517.

It is an arithmetic number, because the mean of its divisors is an integer number (42815517).

Almost surely, 285631033 is an apocalyptic number.

It is an amenable number.

85631033 is a deficient number, since it is larger than the sum of its proper divisors (1).

85631033 is an equidigital number, since it uses as much as digits as its factorization.

85631033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 85631033 is about 9253.7037449877. The cubic root of 85631033 is about 440.7683424316.

The spelling of 85631033 in words is "eighty-five million, six hundred thirty-one thousand, thirty-three".