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12837833 is a prime number
BaseRepresentation
bin110000111110…
…001111001001
3220011020012022
4300332033021
511241302313
61135054225
7214056041
oct60761711
926136168
1012837833
117279288
124371375
132876468
1419c2721
1511d8c08
hexc3e3c9

12837833 has 2 divisors, whose sum is σ = 12837834. Its totient is φ = 12837832.

The previous prime is 12837823. The next prime is 12837871. The reversal of 12837833 is 33873821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9314704 + 3523129 = 3052^2 + 1877^2 .

It is a cyclic number.

It is not a de Polignac number, because 12837833 - 28 = 12837577 is a prime.

It is a super-2 number, since 2×128378332 = 329619912271778, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12837793 and 12837802.

It is not a weakly prime, because it can be changed into another prime (12837823) 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, 6418916 + 6418917.

It is an arithmetic number, because the mean of its divisors is an integer number (6418917).

Almost surely, 212837833 is an apocalyptic number.

It is an amenable number.

12837833 is a deficient number, since it is larger than the sum of its proper divisors (1).

12837833 is an equidigital number, since it uses as much as digits as its factorization.

12837833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 12837833 is about 3582.9921853110. The cubic root of 12837833 is about 234.1516597878.

The spelling of 12837833 in words is "twelve million, eight hundred thirty-seven thousand, eight hundred thirty-three".