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13727321 is a prime number
BaseRepresentation
bin110100010111…
…011001011001
3221211102100022
4310113121121
512003233241
61210120225
7224452226
oct64273131
927742308
1013727321
1178265a3
124720075
132ac829a
141b7494d
15131254b
hexd17659

13727321 has 2 divisors, whose sum is σ = 13727322. Its totient is φ = 13727320.

The previous prime is 13727299. The next prime is 13727323. The reversal of 13727321 is 12372731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12880921 + 846400 = 3589^2 + 920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13727321 is a prime.

Together with 13727323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13727323) 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, 6863660 + 6863661.

It is an arithmetic number, because the mean of its divisors is an integer number (6863661).

Almost surely, 213727321 is an apocalyptic number.

It is an amenable number.

13727321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13727321 is an equidigital number, since it uses as much as digits as its factorization.

13727321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 26.

The square root of 13727321 is about 3705.0399458036. The cubic root of 13727321 is about 239.4392056909.

The spelling of 13727321 in words is "thirteen million, seven hundred twenty-seven thousand, three hundred twenty-one".