Search a number
-
+
12038617 is a prime number
BaseRepresentation
bin101101111011…
…000111011001
3211122121212201
4231323013121
511040213432
61110010201
7204220003
oct55730731
924577781
1012038617
116882878
124046961
132656756
141855373
1510cbee7
hexb7b1d9

12038617 has 2 divisors, whose sum is σ = 12038618. Its totient is φ = 12038616.

The previous prime is 12038599. The next prime is 12038623. The reversal of 12038617 is 71683021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7778521 + 4260096 = 2789^2 + 2064^2 .

It is a cyclic number.

It is not a de Polignac number, because 12038617 - 27 = 12038489 is a prime.

It is a super-3 number, since 3×120386173 (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12038657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6019308 + 6019309.

It is an arithmetic number, because the mean of its divisors is an integer number (6019309).

Almost surely, 212038617 is an apocalyptic number.

It is an amenable number.

12038617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12038617 is an equidigital number, since it uses as much as digits as its factorization.

12038617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 12038617 is about 3469.6710218694. The cubic root of 12038617 is about 229.1881712639.

The spelling of 12038617 in words is "twelve million, thirty-eight thousand, six hundred seventeen".