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12807973 is a prime number
BaseRepresentation
bin110000110110…
…111100100101
3220002201020101
4300312330211
511234323343
61134304101
7213603013
oct60667445
926081211
1012807973
117258902
124358031
1328659a9
1419b58b3
1511cee4d
hexc36f25

12807973 has 2 divisors, whose sum is σ = 12807974. Its totient is φ = 12807972.

The previous prime is 12807961. The next prime is 12807983. The reversal of 12807973 is 37970821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12376324 + 431649 = 3518^2 + 657^2 .

It is a cyclic number.

It is not a de Polignac number, because 12807973 - 29 = 12807461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12807943) 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, 6403986 + 6403987.

It is an arithmetic number, because the mean of its divisors is an integer number (6403987).

Almost surely, 212807973 is an apocalyptic number.

It is an amenable number.

12807973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12807973 is an equidigital number, since it uses as much as digits as its factorization.

12807973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 12807973 is about 3578.8228511621. The cubic root of 12807973 is about 233.9699781291.

It can be divided in two parts, 1280797 and 3, that added together give a triangular number (1280800 = T1600).

The spelling of 12807973 in words is "twelve million, eight hundred seven thousand, nine hundred seventy-three".