Search a number
-
+
10836317 is a prime number
BaseRepresentation
bin101001010101…
…100101011101
3202101112122002
4221111211131
510233230232
61024132045
7161051522
oct51254535
922345562
1010836317
116131538
123767025
13232542b
141621149
15e40b62
hexa5595d

10836317 has 2 divisors, whose sum is σ = 10836318. Its totient is φ = 10836316.

The previous prime is 10836313. The next prime is 10836347. The reversal of 10836317 is 71363801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7107556 + 3728761 = 2666^2 + 1931^2 .

It is an emirp because it is prime and its reverse (71363801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10836317 - 22 = 10836313 is a prime.

It is a super-2 number, since 2×108363172 = 234851532248978, which contains 22 as substring.

It is a Chen prime.

It is equal to p716393 and since 10836317 and 716393 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 10836317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10836311) 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, 5418158 + 5418159.

It is an arithmetic number, because the mean of its divisors is an integer number (5418159).

Almost surely, 210836317 is an apocalyptic number.

It is an amenable number.

10836317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10836317 is an equidigital number, since it uses as much as digits as its factorization.

10836317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10836317 is about 3291.8561633218. The cubic root of 10836317 is about 221.2893774806.

The spelling of 10836317 in words is "ten million, eight hundred thirty-six thousand, three hundred seventeen".