Search a number
-
+
104004617 is a prime number
BaseRepresentation
bin1100011001011…
…11110000001001
321020200222111212
412030233300021
5203111121432
614153102505
72402011313
oct614576011
9236628455
10104004617
1153787232
122a9b7a35
13187164c2
14db547b3
1591e62b2
hex632fc09

104004617 has 2 divisors, whose sum is σ = 104004618. Its totient is φ = 104004616.

The previous prime is 104004601. The next prime is 104004619. The reversal of 104004617 is 716400401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74149321 + 29855296 = 8611^2 + 5464^2 .

It is a cyclic number.

It is not a de Polignac number, because 104004617 - 24 = 104004601 is a prime.

Together with 104004619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 104004592 and 104004601.

It is not a weakly prime, because it can be changed into another prime (104004619) 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, 52002308 + 52002309.

It is an arithmetic number, because the mean of its divisors is an integer number (52002309).

Almost surely, 2104004617 is an apocalyptic number.

It is an amenable number.

104004617 is a deficient number, since it is larger than the sum of its proper divisors (1).

104004617 is an equidigital number, since it uses as much as digits as its factorization.

104004617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 104004617 is about 10198.2653917223. The cubic root of 104004617 is about 470.2738964875.

The spelling of 104004617 in words is "one hundred four million, four thousand, six hundred seventeen".