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2137517 is a prime number
BaseRepresentation
bin1000001001110110101101
311000121010022
420021312231
51021400032
6113451525
724111554
oct10116655
94017108
102137517
11122aa48
12870ba5
1359ac05
143d8d9b
152c3512
hex209dad

2137517 has 2 divisors, whose sum is σ = 2137518. Its totient is φ = 2137516.

The previous prime is 2137507. The next prime is 2137547. The reversal of 2137517 is 7157312.

2137517 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., 2128681 + 8836 = 1459^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137517 - 218 = 1875373 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137507) 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, 1068758 + 1068759.

It is an arithmetic number, because the mean of its divisors is an integer number (1068759).

22137517 is an apocalyptic number.

It is an amenable number.

2137517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137517 is an equidigital number, since it uses as much as digits as its factorization.

2137517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1470, while the sum is 26.

The square root of 2137517 is about 1462.0249655871. The cubic root of 2137517 is about 128.8160147840.

The spelling of 2137517 in words is "two million, one hundred thirty-seven thousand, five hundred seventeen".