7867 has 2 divisors, whose sum is σ = 7868. Its totient is φ = 7866.

The previous prime is 7853. The next prime is 7873. The reversal of 7867 is 7687.

7867 is nontrivially palindromic in base 9.

7867 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is an emirp because it is prime and its reverse (7687) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7867 is a prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (7817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3933 + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (3934).

2⁷⁸⁶⁷ is an apocalyptic number.

7867 is a deficient number, since it is larger than the sum of its proper divisors (1).

7867 is an equidigital number, since it uses as much as digits as its factorization.

7867 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2352, while the sum is 28.

The square root of 7867 is about 88.6961103995. The cubic root of 7867 is about 19.8885467288. Note that the first 3 decimals are identical.

The spelling of 7867 in words is "seven thousand, eight hundred sixty-seven".