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32933 is a prime number
BaseRepresentation
bin1000000010100101
31200011202
420002211
52023213
6412245
7165005
oct100245
950152
1032933
112281a
1217085
1311cb4
14c005
159b58
hex80a5

32933 has 2 divisors, whose sum is σ = 32934. Its totient is φ = 32932.

The previous prime is 32917. The next prime is 32939. The reversal of 32933 is 33923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 12769 = 142^2 + 113^2 .

It is an emirp because it is prime and its reverse (33923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32933 - 24 = 32917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16466 + 16467.

It is an arithmetic number, because the mean of its divisors is an integer number (16467).

232933 is an apocalyptic number.

It is an amenable number.

32933 is a deficient number, since it is larger than the sum of its proper divisors (1).

32933 is an equidigital number, since it uses as much as digits as its factorization.

32933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 32933 is about 181.4745161173. The cubic root of 32933 is about 32.0536210368.

Subtracting 32933 from its reverse (33923), we obtain a triangular number (990 = T44).

The spelling of 32933 in words is "thirty-two thousand, nine hundred thirty-three".