1267 has 4 divisors (see below), whose sum is σ = 1456. Its totient is φ = 1080.

The previous prime is 1259. The next prime is 1277. The reversal of 1267 is 7621.

1267 = 3⁵ + 4⁵.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1267 - 2³ = 1259 is a prime.

It is a plaindrome in base 10 and base 14.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1267.

It is not an unprimeable number, because it can be changed into a prime (1217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

2¹²⁶⁷ is an apocalyptic number.

1267 is a deficient number, since it is larger than the sum of its proper divisors (189).

1267 is an equidigital number, since it uses as much as digits as its factorization.

1267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 84, while the sum is 16.

The square root of 1267 is about 35.5949434611. The cubic root of 1267 is about 10.8207875806.

Adding to 1267 its reverse (7621), we get a palindrome (8888).

The spelling of 1267 in words is "one thousand, two hundred sixty-seven".