7267 has 6 divisors (see below), whose sum is σ = 8052. Its totient is φ = 6552.

The previous prime is 7253. The next prime is 7283. The reversal of 7267 is 7627.

7267 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-7267 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7207) 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 5 ways as a sum of consecutive naturals, for example, 148 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (1342).

2⁷²⁶⁷ is an apocalyptic number.

7267 is the 43-rd decagonal number.

7267 is a deficient number, since it is larger than the sum of its proper divisors (785).

7267 is a wasteful number, since it uses less digits than its factorization.

7267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 7267 is about 85.2467008159. The cubic root of 7267 is about 19.3694989586.

The spelling of 7267 in words is "seven thousand, two hundred sixty-seven".