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2009827 is a prime number
BaseRepresentation
bin111101010101011100011
310210002222001
413222223203
51003303302
6111024431
723040361
oct7525343
93702861
102009827
111153016
1280b117
13554a61
143a4631
1529a787
hex1eaae3

2009827 has 2 divisors, whose sum is σ = 2009828. Its totient is φ = 2009826.

The previous prime is 2009807. The next prime is 2009831. The reversal of 2009827 is 7289002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2009827 is a prime.

It is a Chen prime.

2009827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2009795 and 2009804.

It is not a weakly prime, because it can be changed into another prime (2009807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004913 + 1004914.

It is an arithmetic number, because the mean of its divisors is an integer number (1004914).

22009827 is an apocalyptic number.

2009827 is the 819-th hex number.

2009827 is a deficient number, since it is larger than the sum of its proper divisors (1).

2009827 is an equidigital number, since it uses as much as digits as its factorization.

2009827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2009827 is about 1417.6836741671. The cubic root of 2009827 is about 126.1981220048.

The spelling of 2009827 in words is "two million, nine thousand, eight hundred twenty-seven".