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12579629 is a prime number
BaseRepresentation
bin101111111111…
…001100101101
3212200010000012
4233333030231
511210022004
61125343005
7211632206
oct57771455
925603005
1012579629
117112297
124267a65
1327b5a8a
1419565ad
15118746e
hexbff32d

12579629 has 2 divisors, whose sum is σ = 12579630. Its totient is φ = 12579628.

The previous prime is 12579617. The next prime is 12579631. The reversal of 12579629 is 92697521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12411529 + 168100 = 3523^2 + 410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12579629 is a prime.

Together with 12579631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12579929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6289814 + 6289815.

It is an arithmetic number, because the mean of its divisors is an integer number (6289815).

Almost surely, 212579629 is an apocalyptic number.

It is an amenable number.

12579629 is a deficient number, since it is larger than the sum of its proper divisors (1).

12579629 is an equidigital number, since it uses as much as digits as its factorization.

12579629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 41.

The square root of 12579629 is about 3546.7772695787. Note that the first 3 decimals coincide. The cubic root of 12579629 is about 232.5712056925.

The spelling of 12579629 in words is "twelve million, five hundred seventy-nine thousand, six hundred twenty-nine".