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38083 is a prime number
BaseRepresentation
bin1001010011000011
31221020111
421103003
52204313
6452151
7216013
oct112303
957214
1038083
1126681
121a057
1314446
14dc43
15b43d
hex94c3

38083 has 2 divisors, whose sum is σ = 38084. Its totient is φ = 38082.

The previous prime is 38069. The next prime is 38113.

38083 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 38083 - 29 = 37571 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (38053) 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, 19041 + 19042.

It is an arithmetic number, because the mean of its divisors is an integer number (19042).

238083 is an apocalyptic number.

38083 is a deficient number, since it is larger than the sum of its proper divisors (1).

38083 is an equidigital number, since it uses as much as digits as its factorization.

38083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38083 is about 195.1486612816. The cubic root of 38083 is about 33.6442138085.

The spelling of 38083 in words is "thirty-eight thousand, eighty-three".