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12965633 is a prime number
BaseRepresentation
bin110001011101…
…011100000001
3220101201111122
4301131130001
511304400013
61141522025
7215130452
oct61353401
926351448
1012965633
1173562aa
124413315
1328bc695
141a17129
151211a08
hexc5d701

12965633 has 2 divisors, whose sum is σ = 12965634. Its totient is φ = 12965632.

The previous prime is 12965627. The next prime is 12965671. The reversal of 12965633 is 33656921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7661824 + 5303809 = 2768^2 + 2303^2 .

It is an emirp because it is prime and its reverse (33656921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12965633 - 26 = 12965569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12965593 and 12965602.

It is not a weakly prime, because it can be changed into another prime (12965333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6482816 + 6482817.

It is an arithmetic number, because the mean of its divisors is an integer number (6482817).

Almost surely, 212965633 is an apocalyptic number.

It is an amenable number.

12965633 is a deficient number, since it is larger than the sum of its proper divisors (1).

12965633 is an equidigital number, since it uses as much as digits as its factorization.

12965633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 35.

The square root of 12965633 is about 3600.7822761172. The cubic root of 12965633 is about 234.9260850985.

The spelling of 12965633 in words is "twelve million, nine hundred sixty-five thousand, six hundred thirty-three".