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8933 is a prime number

8933 has 2 divisors, whose sum is σ = 8934. Its totient is φ = 8932.

The previous prime is 8929. The next prime is 8941. The reversal of 8933 is 3398.

8933 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 2209 = 82^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 8933 - 22 = 8929 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8899 and 8908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8933.

It is not a weakly prime, because it can be changed into another prime (8923) 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, 4466 + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (4467).

28933 is an apocalyptic number.

It is an amenable number.

8933 is a deficient number, since it is larger than the sum of its proper divisors (1).

8933 is an equidigital number, since it uses as much as digits as its factorization.

8933 is an odious number, because the sum of its binary digits is odd.

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

The square root of 8933 is about 94.5145491446. The cubic root of 8933 is about 20.7490927169.

The spelling of 8933 in words is "eight thousand, nine hundred thirty-three".