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2137717 is a prime number
BaseRepresentation
bin1000001001111001110101
311000121101201
420021321311
51021401332
6113452501
724112261
oct10117165
94017351
102137717
11123010a
12871131
1359b02a
143d90a1
152c35e7
hex209e75

2137717 has 2 divisors, whose sum is σ = 2137718. Its totient is φ = 2137716.

The previous prime is 2137697. The next prime is 2137727. The reversal of 2137717 is 7177312.

2137717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1943236 + 194481 = 1394^2 + 441^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137717 - 211 = 2135669 is a prime.

It is a Chen prime.

2137717 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137727) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068858 + 1068859.

It is an arithmetic number, because the mean of its divisors is an integer number (1068859).

22137717 is an apocalyptic number.

It is an amenable number.

2137717 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137717 is an equidigital number, since it uses as much as digits as its factorization.

2137717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2058, while the sum is 28.

The square root of 2137717 is about 1462.0933622721. The cubic root of 2137717 is about 128.8200322802.

The spelling of 2137717 in words is "two million, one hundred thirty-seven thousand, seven hundred seventeen".