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85814593 is a prime number
BaseRepresentation
bin1010001110101…
…10110101000001
312222110211111021
411013112311001
5133432031333
612303145441
72061261214
oct507266501
9188424437
1085814593
1144492857
12248a5281
1314a17b87
14b57b77b
15780182d
hex51d6d41

85814593 has 2 divisors, whose sum is σ = 85814594. Its totient is φ = 85814592.

The previous prime is 85814543. The next prime is 85814669. The reversal of 85814593 is 39541858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74097664 + 11716929 = 8608^2 + 3423^2 .

It is a cyclic number.

It is not a de Polignac number, because 85814593 - 221 = 83717441 is a prime.

It is not a weakly prime, because it can be changed into another prime (85814513) 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, 42907296 + 42907297.

It is an arithmetic number, because the mean of its divisors is an integer number (42907297).

Almost surely, 285814593 is an apocalyptic number.

It is an amenable number.

85814593 is a deficient number, since it is larger than the sum of its proper divisors (1).

85814593 is an equidigital number, since it uses as much as digits as its factorization.

85814593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 43.

The square root of 85814593 is about 9263.6166263506. The cubic root of 85814593 is about 441.0830635920.

It can be divided in two parts, 858 and 14593, that added together give a palindrome (15451).

The spelling of 85814593 in words is "eighty-five million, eight hundred fourteen thousand, five hundred ninety-three".