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13382267 is a prime number
BaseRepresentation
bin110011000011…
…001001111011
3221011220000112
4303003021323
511411213032
61154454535
7221514233
oct63031173
927156015
1013382267
117610328
12459444b
132a07202
141ac4cc3
1512951b2
hexcc327b

13382267 has 2 divisors, whose sum is σ = 13382268. Its totient is φ = 13382266.

The previous prime is 13382261. The next prime is 13382269. The reversal of 13382267 is 76228331.

It is a happy number.

13382267 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13382267 - 212 = 13378171 is a prime.

It is a super-3 number, since 3×133822673 (a number of 22 digits) contains 333 as substring.

Together with 13382269, 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 (13382261) 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, 6691133 + 6691134.

It is an arithmetic number, because the mean of its divisors is an integer number (6691134).

Almost surely, 213382267 is an apocalyptic number.

13382267 is a deficient number, since it is larger than the sum of its proper divisors (1).

13382267 is an equidigital number, since it uses as much as digits as its factorization.

13382267 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 32.

The square root of 13382267 is about 3658.1780984528. The cubic root of 13382267 is about 237.4159525319.

The spelling of 13382267 in words is "thirteen million, three hundred eighty-two thousand, two hundred sixty-seven".