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1063 is a prime number
BaseRepresentation
bin10000100111
31110101
4100213
513223
64531
73046
oct2047
91411
101063
11887
12747
1363a
1455d
154ad
hex427

1063 has 2 divisors, whose sum is σ = 1064. Its totient is φ = 1062.

The previous prime is 1061. The next prime is 1069. The reversal of 1063 is 3601.

Adding to 1063 its product of nonzero digits (18), we get a triangular number (1081 = T46).

Adding to 1063 its reverse (3601), we get a palindrome (4664).

It can be divided in two parts, 10 and 63, that multiplied together give a triangular number (630 = T35).

1063 is nontrivially palindromic in base 12.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1063 - 21 = 1061 is a prime.

It is a super-2 number, since 2×10632 = 2259938, which contains 22 as substring.

Together with 1061, it forms a pair of twin primes.

1063 is an undulating number in base 12.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 531 + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

1063 is a deficient number, since it is larger than the sum of its proper divisors (1).

1063 is an equidigital number, since it uses as much as digits as its factorization.

1063 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1063 is about 32.6036807738. The cubic root of 1063 is about 10.2057381528.

The spelling of 1063 in words is "one thousand, sixty-three".