1266 has 8 divisors (see below), whose sum is σ = 2544. Its totient is φ = 420.

The previous prime is 1259. The next prime is 1277. The reversal of 1266 is 6621.

1266 is nontrivially palindromic in base 14.

1266 is an esthetic number in base 7 and base 13, because in such bases its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

1266 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

1266 is a modest number, since divided by 66 gives 12 as remainder.

1266 is a nontrivial repdigit in base 14.

It is a plaindrome in base 7, base 10 and base 14.

It is a nialpdrome in base 6, base 11, base 13 and base 14.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1266.

It is an unprimeable number.

1266 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (318).

1266 is the 23-rd centered pentagonal number.

1266 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272).

1266 is a wasteful number, since it uses less digits than its factorization.

1266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its digits is 72, while the sum is 15.

The square root of 1266 is about 35.5808937493. The cubic root of 1266 is about 10.8179400048.

Adding to 1266 its reverse (6621), we get a palindrome (7887).

It can be divided in two parts, 12 and 66, that added together give a triangular number (78 = T_{12}).

The spelling of 1266 in words is "one thousand, two hundred sixty-six".

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