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85946041 is a prime number
BaseRepresentation
bin1010001111101…
…10111010111001
312222201111210201
411013312322321
5134000233131
612310042201
72062346356
oct507667271
9188644721
1085946041
1144572595
1224949361
1314a6295c
14b5b362d
15782a761
hex51f6eb9

85946041 has 2 divisors, whose sum is σ = 85946042. Its totient is φ = 85946040.

The previous prime is 85946027. The next prime is 85946057. The reversal of 85946041 is 14064958.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83997225 + 1948816 = 9165^2 + 1396^2 .

It is a cyclic number.

It is not a de Polignac number, because 85946041 - 29 = 85945529 is a prime.

It is not a weakly prime, because it can be changed into another prime (85946071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42973020 + 42973021.

It is an arithmetic number, because the mean of its divisors is an integer number (42973021).

Almost surely, 285946041 is an apocalyptic number.

It is an amenable number.

85946041 is a deficient number, since it is larger than the sum of its proper divisors (1).

85946041 is an equidigital number, since it uses as much as digits as its factorization.

85946041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 85946041 is about 9270.7087647062. The cubic root of 85946041 is about 441.3081609249.

The spelling of 85946041 in words is "eighty-five million, nine hundred forty-six thousand, forty-one".