• Deleting all the even digits from 2^{1027} we obtain a prime of 155 digits.

1027 has 4 divisors (see below), whose sum is σ = 1120. Its totient is φ = 936.

The previous prime is 1021. The next prime is 1031. The reversal of 1027 is 7201.

1027 is nontrivially palindromic in base 12 and base 14.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7201 = 19 ⋅379.

It is not a de Polignac number, because 1027 - 2^{3} = 1019 is a prime.

It is a Duffinian number.

1027 is an undulating number in base 12 and base 14.

1027 is a modest number, since divided by 27 gives 1 as remainder.

It is a nialpdrome in base 6, base 11 and base 13.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 52.

It is an arithmetic number, because the mean of its divisors is an integer number (280).

1027 is the 19-th hex number.

1027 is a deficient number, since it is larger than the sum of its proper divisors (93).

1027 is an equidigital number, since it uses as much as digits as its factorization.

1027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 1027 is about 32.0468407179. The cubic root of 1027 is about 10.0892019355.

Adding to 1027 its reverse (7201), we get a palindrome (8228).

The spelling of 1027 in words is "one thousand, twenty-seven", and thus it is an iban number.

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