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2165393 is a prime number
BaseRepresentation
bin1000010000101010010001
311002000100202
420100222101
51023243033
6114224545
724256046
oct10205221
94060322
102165393
11124998a
12885155
135aa7c9
144051cd
152cb8e8
hex210a91

2165393 has 2 divisors, whose sum is σ = 2165394. Its totient is φ = 2165392.

The previous prime is 2165357. The next prime is 2165413. The reversal of 2165393 is 3935612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1098304 + 1067089 = 1048^2 + 1033^2 .

It is a cyclic number.

It is not a de Polignac number, because 2165393 - 212 = 2161297 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 219 + 1 + 66 + 53 + 312 + 96 + 312 .

It is not a weakly prime, because it can be changed into another prime (2165323) 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, 1082696 + 1082697.

It is an arithmetic number, because the mean of its divisors is an integer number (1082697).

22165393 is an apocalyptic number.

It is an amenable number.

2165393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2165393 is an equidigital number, since it uses as much as digits as its factorization.

2165393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 29.

The square root of 2165393 is about 1471.5274377326. The cubic root of 2165393 is about 129.3735740856.

The spelling of 2165393 in words is "two million, one hundred sixty-five thousand, three hundred ninety-three".