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11427617 is a prime number
BaseRepresentation
bin101011100101…
…111100100001
3210111120202002
4223211330201
510411140432
61044533345
7166063445
oct53457441
923446662
1011427617
1164a5813
1239b1255
1324a1606
141736825
15100ae62
hexae5f21

11427617 has 2 divisors, whose sum is σ = 11427618. Its totient is φ = 11427616.

The previous prime is 11427589. The next prime is 11427649. The reversal of 11427617 is 71672411.

11427617 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10863616 + 564001 = 3296^2 + 751^2 .

It is an emirp because it is prime and its reverse (71672411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11427617 - 216 = 11362081 is a prime.

It is equal to p752834 and since 11427617 and 752834 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11427617.

It is not a weakly prime, because it can be changed into another prime (11427697) 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, 5713808 + 5713809.

It is an arithmetic number, because the mean of its divisors is an integer number (5713809).

Almost surely, 211427617 is an apocalyptic number.

It is an amenable number.

11427617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11427617 is an equidigital number, since it uses as much as digits as its factorization.

11427617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 11427617 is about 3380.4758540774. The cubic root of 11427617 is about 225.2433055291.

The spelling of 11427617 in words is "eleven million, four hundred twenty-seven thousand, six hundred seventeen".