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2000653 is a prime number
BaseRepresentation
bin111101000011100001101
310202122101021
413220130031
51003010103
6110514141
723001544
oct7503415
93678337
102000653
111147136
12805951
13550825
143a115b
15297bbd
hex1e870d

2000653 has 2 divisors, whose sum is σ = 2000654. Its totient is φ = 2000652.

The previous prime is 2000639. The next prime is 2000659. The reversal of 2000653 is 3560002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1857769 + 142884 = 1363^2 + 378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000653 is a prime.

It is a super-2 number, since 2×20006532 = 8005224852818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000659) 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, 1000326 + 1000327.

It is an arithmetic number, because the mean of its divisors is an integer number (1000327).

22000653 is an apocalyptic number.

It is an amenable number.

2000653 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000653 is an equidigital number, since it uses as much as digits as its factorization.

2000653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2000653 is about 1414.4444138954. Note that the first 4 decimals coincide. The cubic root of 2000653 is about 126.0058156382.

Adding to 2000653 its reverse (3560002), we get a palindrome (5560655).

The spelling of 2000653 in words is "two million, six hundred fifty-three", and thus it is an aban number.