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12887617 is a prime number
BaseRepresentation
bin110001001010…
…011001000001
3220020202111011
4301022121001
511244400432
61140120521
7214354141
oct61123101
926222434
1012887617
117302726
124396141
132893012
1419d6921
1511e8847
hexc4a641

12887617 has 2 divisors, whose sum is σ = 12887618. Its totient is φ = 12887616.

The previous prime is 12887603. The next prime is 12887621. The reversal of 12887617 is 71678821.

12887617 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11895601 + 992016 = 3449^2 + 996^2 .

It is a cyclic number.

It is not a de Polignac number, because 12887617 - 211 = 12885569 is a prime.

It is a super-4 number, since 4×128876174 (a number of 30 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12887617.

It is not a weakly prime, because it can be changed into another prime (12887627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6443808 + 6443809.

It is an arithmetic number, because the mean of its divisors is an integer number (6443809).

Almost surely, 212887617 is an apocalyptic number.

It is an amenable number.

12887617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12887617 is an equidigital number, since it uses as much as digits as its factorization.

12887617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37632, while the sum is 40.

The square root of 12887617 is about 3589.9327291747. The cubic root of 12887617 is about 234.4539426400.

The spelling of 12887617 in words is "twelve million, eight hundred eighty-seven thousand, six hundred seventeen".