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83209993 is a prime number
BaseRepresentation
bin1001111010110…
…10111100001001
312210120111122121
410331122330021
5132300204433
612131251241
72030162506
oct475327411
9183514577
1083209993
1142a73999
1223a49b21
13143154a9
14b0a04ad
157489c2d
hex4f5af09

83209993 has 2 divisors, whose sum is σ = 83209994. Its totient is φ = 83209992.

The previous prime is 83209981. The next prime is 83210041. The reversal of 83209993 is 39990238.

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., 71182969 + 12027024 = 8437^2 + 3468^2 .

It is a cyclic number.

It is not a de Polignac number, because 83209993 - 213 = 83201801 is a prime.

It is not a weakly prime, because it can be changed into another prime (83209943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41604996 + 41604997.

It is an arithmetic number, because the mean of its divisors is an integer number (41604997).

Almost surely, 283209993 is an apocalyptic number.

It is an amenable number.

83209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

83209993 is an equidigital number, since it uses as much as digits as its factorization.

83209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 83209993 is about 9121.9511618951. The cubic root of 83209993 is about 436.5746305521.

The spelling of 83209993 in words is "eighty-three million, two hundred nine thousand, nine hundred ninety-three".