Search a number
-
+
10609117 is a prime number
BaseRepresentation
bin101000011110…
…000111011101
3201221222222021
4220132013131
510203442432
61015220141
7156114241
oct50360735
921858867
1010609117
115a96872
123677651
132275bac
1415a2421
15de8697
hexa1e1dd

10609117 has 2 divisors, whose sum is σ = 10609118. Its totient is φ = 10609116.

The previous prime is 10609073. The next prime is 10609133. The reversal of 10609117 is 71190601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5707321 + 4901796 = 2389^2 + 2214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10609117 is a prime.

It is a super-2 number, since 2×106091172 = 225106727039378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10609091 and 10609100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10609177) 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, 5304558 + 5304559.

It is an arithmetic number, because the mean of its divisors is an integer number (5304559).

Almost surely, 210609117 is an apocalyptic number.

It is an amenable number.

10609117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10609117 is an equidigital number, since it uses as much as digits as its factorization.

10609117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 10609117 is about 3257.1639504330. The cubic root of 10609117 is about 219.7318841214.

Adding to 10609117 its reverse (71190601), we get a palindrome (81799718).

The spelling of 10609117 in words is "ten million, six hundred nine thousand, one hundred seventeen".