Search a number
-
+
12683857 is a prime number
BaseRepresentation
bin110000011000…
…101001010001
3212212101222111
4300120221101
511221340412
61131505321
7212545114
oct60305121
925771874
1012683857
11718362a
1242b8241
132821354
14198257b
1511a82a7
hexc18a51

12683857 has 2 divisors, whose sum is σ = 12683858. Its totient is φ = 12683856.

The previous prime is 12683851. The next prime is 12683861. The reversal of 12683857 is 75838621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12680721 + 3136 = 3561^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12683857 is a prime.

It is a super-3 number, since 3×126838573 (a number of 22 digits) contains 333 as substring.

It is equal to p829939 and since 12683857 and 829939 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (12683851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6341928 + 6341929.

It is an arithmetic number, because the mean of its divisors is an integer number (6341929).

Almost surely, 212683857 is an apocalyptic number.

It is an amenable number.

12683857 is a deficient number, since it is larger than the sum of its proper divisors (1).

12683857 is an equidigital number, since it uses as much as digits as its factorization.

12683857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 40.

The square root of 12683857 is about 3561.4402985309. The cubic root of 12683857 is about 233.2117595699.

The spelling of 12683857 in words is "twelve million, six hundred eighty-three thousand, eight hundred fifty-seven".