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83093 is a prime number
BaseRepresentation
bin10100010010010101
311012222112
4110102111
510124333
61440405
7464153
oct242225
9135875
1083093
115747a
1240105
132ba8a
14223d3
1519948
hex14495

83093 has 2 divisors, whose sum is σ = 83094. Its totient is φ = 83092.

The previous prime is 83089. The next prime is 83101. The reversal of 83093 is 39038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69169 + 13924 = 263^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 83093 - 22 = 83089 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41546 + 41547.

It is an arithmetic number, because the mean of its divisors is an integer number (41547).

283093 is an apocalyptic number.

It is an amenable number.

83093 is a deficient number, since it is larger than the sum of its proper divisors (1).

83093 is an equidigital number, since it uses as much as digits as its factorization.

83093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 83093 is about 288.2585644868. The cubic root of 83093 is about 43.6369927045.

The spelling of 83093 in words is "eighty-three thousand, ninety-three".