1066 has 8 divisors (see below), whose sum is σ = 1764. Its totient is φ = 480.
The previous prime is 1063. The next prime is 1069. The reversal of 1066 is 6601.
1066 is nontrivially palindromic in base 3 and base 5.
It is an interprime number because it is at equal distance from previous prime (1063) and next prime (1069).
It can be written as a sum of positive squares in 2 ways, for example, as 841 + 225 = 29^2 + 15^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a super-2 number, since 2×10662 = 2272712, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
1066 is an undulating number in base 9.
1066 is a modest number, since divided by 66 gives 10 as remainder.
It is a plaindrome in base 11.
It is a nialpdrome in base 13.
It is not an unprimeable number, because it can be changed into a prime (1061) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 46.
1066 is a deficient number, since it is larger than the sum of its proper divisors (698).
1066 is a wasteful number, since it uses less digits than its factorization.
1066 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 56.
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 1066 is about 32.6496554346. The cubic root of 1066 is about 10.2153300176.
Adding to 1066 its reverse (6601), we get a palindrome (7667).
It can be divided in two parts, 106 and 6, that multiplied together give a palindrome (636).
The spelling of 1066 in words is "one thousand, sixty-six".
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