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13627213 is a prime number
BaseRepresentation
bin110011111110…
…111101001101
3221122100000121
4303332331031
511442032323
61204024541
7223554325
oct63767515
927570017
1013627213
117768366
124692151
132a91852
141b4a285
1512e2a5d
hexcfef4d

13627213 has 2 divisors, whose sum is σ = 13627214. Its totient is φ = 13627212.

The previous prime is 13627193. The next prime is 13627231. The reversal of 13627213 is 31272631.

13627213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13627231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13089924 + 537289 = 3618^2 + 733^2 .

It is a cyclic number.

It is not a de Polignac number, because 13627213 - 25 = 13627181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13627613) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6813606 + 6813607.

It is an arithmetic number, because the mean of its divisors is an integer number (6813607).

Almost surely, 213627213 is an apocalyptic number.

It is an amenable number.

13627213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13627213 is an equidigital number, since it uses as much as digits as its factorization.

13627213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 13627213 is about 3691.5055194324. The cubic root of 13627213 is about 238.8557394621.

Adding to 13627213 its reverse (31272631), we get a palindrome (44899844).

The spelling of 13627213 in words is "thirteen million, six hundred twenty-seven thousand, two hundred thirteen".