Search a number
-
+
1067000017 is a prime number
BaseRepresentation
bin111111100110010…
…010000011010001
32202100202012212011
4333212102003101
54141123000032
6253513302521
735304231136
oct7746220321
92670665764
101067000017
114a83259a6
12259404a41
13140098375
14a19cc58d
1563a18247
hex3f9920d1

1067000017 has 2 divisors, whose sum is σ = 1067000018. Its totient is φ = 1067000016.

The previous prime is 1067000009. The next prime is 1067000027. The reversal of 1067000017 is 7100007601.

1067000017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 579076096 + 487923921 = 24064^2 + 22089^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067000017 - 23 = 1067000009 is a prime.

It is a super-2 number, since 2×10670000172 = 2276978072556000578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1067000027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533500008 + 533500009.

It is an arithmetic number, because the mean of its divisors is an integer number (533500009).

Almost surely, 21067000017 is an apocalyptic number.

It is an amenable number.

1067000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067000017 is an equidigital number, since it uses as much as digits as its factorization.

1067000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 1067000017 is about 32664.9662023398. The cubic root of 1067000017 is about 1021.8523360658.

Adding to 1067000017 its reverse (7100007601), we get a palindrome (8167007618).

The spelling of 1067000017 in words is "one billion, sixty-seven million, seventeen", and thus it is an aban number and an uban number.