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32983 is a prime number
BaseRepresentation
bin1000000011010111
31200020121
420003113
52023413
6412411
7165106
oct100327
950217
1032983
1122865
1217107
1312022
14c03d
159b8d
hex80d7

32983 has 2 divisors, whose sum is σ = 32984. Its totient is φ = 32982.

The previous prime is 32971. The next prime is 32987. The reversal of 32983 is 38923.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (38923) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32983 is a prime.

It is a d-powerful number, because it can be written as 3 + 27 + 92 + 85 + 3 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32987) 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, 16491 + 16492.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

232983 is an apocalyptic number.

32983 is a deficient number, since it is larger than the sum of its proper divisors (1).

32983 is an equidigital number, since it uses as much as digits as its factorization.

32983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 32983 is about 181.6122242582. The cubic root of 32983 is about 32.0698344667.

The spelling of 32983 in words is "thirty-two thousand, nine hundred eighty-three".