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12005933 is a prime number
BaseRepresentation
bin101101110011…
…001000101101
3211120222001012
4231303020231
511033142213
61105155005
7204022502
oct55631055
924528035
1012005933
116860265
12402ba65
132644904
1418474a9
1510c24a8
hexb7322d

12005933 has 2 divisors, whose sum is σ = 12005934. Its totient is φ = 12005932.

The previous prime is 12005923. The next prime is 12005941. The reversal of 12005933 is 33950021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10843849 + 1162084 = 3293^2 + 1078^2 .

It is a cyclic number.

It is not a de Polignac number, because 12005933 - 218 = 11743789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12005899 and 12005908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12005923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002966 + 6002967.

It is an arithmetic number, because the mean of its divisors is an integer number (6002967).

Almost surely, 212005933 is an apocalyptic number.

It is an amenable number.

12005933 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005933 is an equidigital number, since it uses as much as digits as its factorization.

12005933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 12005933 is about 3464.9578641017. The cubic root of 12005933 is about 228.9805733474.

Adding to 12005933 its reverse (33950021), we get a palindrome (45955954).

The spelling of 12005933 in words is "twelve million, five thousand, nine hundred thirty-three".