Search a number
-
+
2107717 is a prime number
BaseRepresentation
bin1000000010100101000101
310222002020121
420002211011
51014421332
6113101541
723625643
oct10024505
93862217
102107717
11120a617
128578b1
1358a491
143cc193
152b9797
hex202945

2107717 has 2 divisors, whose sum is σ = 2107718. Its totient is φ = 2107716.

The previous prime is 2107709. The next prime is 2107723. The reversal of 2107717 is 7177012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1079521 + 1028196 = 1039^2 + 1014^2 .

It is a cyclic number.

It is not a de Polignac number, because 2107717 - 23 = 2107709 is a prime.

It is equal to p156346 and since 2107717 and 156346 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 2107691 and 2107700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2107747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053858 + 1053859.

It is an arithmetic number, because the mean of its divisors is an integer number (1053859).

22107717 is an apocalyptic number.

It is an amenable number.

2107717 is a deficient number, since it is larger than the sum of its proper divisors (1).

2107717 is an equidigital number, since it uses as much as digits as its factorization.

2107717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 2107717 is about 1451.7978509421. The cubic root of 2107717 is about 128.2145855324.

The spelling of 2107717 in words is "two million, one hundred seven thousand, seven hundred seventeen".