Search a number
-
+
1000117 is a prime number
BaseRepresentation
bin11110100001010110101
31212210220101
43310022311
5224000432
633234101
711333536
oct3641265
91783811
101000117
11623448
12402931
132902b1
141c068d
1514b4e7
hexf42b5

1000117 has 2 divisors, whose sum is σ = 1000118. Its totient is φ = 1000116.

The previous prime is 1000099. The next prime is 1000121. The reversal of 1000117 is 7110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998001 + 2116 = 999^2 + 46^2 .

It is an emirp because it is prime and its reverse (7110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000117 - 211 = 998069 is a prime.

It is an Ulam number.

1000117 is a modest number, since divided by 117 gives 1 as remainder.

1000117 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500058 + 500059.

It is an arithmetic number, because the mean of its divisors is an integer number (500059).

21000117 is an apocalyptic number.

It is an amenable number.

1000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000117 is an equidigital number, since it uses as much as digits as its factorization.

1000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 1000117 is about 1000.0584982890. The cubic root of 1000117 is about 100.0038998479.

Adding to 1000117 its reverse (7110001), we get a palindrome (8110118).

The spelling of 1000117 in words is "one million, one hundred seventeen", and thus it is an aban number.