Search a number
-
+
12657341 is a prime number
BaseRepresentation
bin110000010010…
…001010111101
3212211001121102
4300102022331
511220013331
61131142445
7212404604
oct60221275
925731542
1012657341
117165714
1242a4a25
132812268
141976a3b
1511a04cb
hexc122bd

12657341 has 2 divisors, whose sum is σ = 12657342. Its totient is φ = 12657340.

The previous prime is 12657319. The next prime is 12657343. The reversal of 12657341 is 14375621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6482116 + 6175225 = 2546^2 + 2485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12657341 is a prime.

Together with 12657343, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p828317 and since 12657341 and 828317 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12657343) 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, 6328670 + 6328671.

It is an arithmetic number, because the mean of its divisors is an integer number (6328671).

Almost surely, 212657341 is an apocalyptic number.

It is an amenable number.

12657341 is a deficient number, since it is larger than the sum of its proper divisors (1).

12657341 is an equidigital number, since it uses as much as digits as its factorization.

12657341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 12657341 is about 3557.7156997152. The cubic root of 12657341 is about 233.0491340320.

The spelling of 12657341 in words is "twelve million, six hundred fifty-seven thousand, three hundred forty-one".