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1027127 is a prime number
BaseRepresentation
bin11111010110000110111
31221011221202
43322300313
5230332002
634003115
711505353
oct3726067
91834852
101027127
11641772
1241649b
1329c68a
141ca463
15154502
hexfac37

1027127 has 2 divisors, whose sum is σ = 1027128. Its totient is φ = 1027126.

The previous prime is 1027097. The next prime is 1027129. The reversal of 1027127 is 7217201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1027127 is a prime.

It is a super-3 number, since 3×10271273 = 3250825753333492149, which contains 333 as substring.

Together with 1027129, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1027099 and 1027108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1027129) 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, 513563 + 513564.

It is an arithmetic number, because the mean of its divisors is an integer number (513564).

21027127 is an apocalyptic number.

1027127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027127 is an equidigital number, since it uses as much as digits as its factorization.

1027127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1027127 is about 1013.4727426034. The cubic root of 1027127 is about 100.8961779917.

The spelling of 1027127 in words is "one million, twenty-seven thousand, one hundred twenty-seven".