7967 has 4 divisors (see below), whose sum is σ = 8256. Its totient is φ = 7680.

The previous prime is 7963. The next prime is 7993. The reversal of 7967 is 7697.

7967 is nontrivially palindromic in base 2.

7967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7697 = 43 ⋅179.

It is a cyclic number.

It is not a de Polignac number, because 7967 - 2² = 7963 is a prime.

It is a Duffinian number.

7967 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963) 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, 98 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (2064).

2⁷⁹⁶⁷ is an apocalyptic number.

7967 is a deficient number, since it is larger than the sum of its proper divisors (289).

7967 is a wasteful number, since it uses less digits than its factorization.

7967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 2646, while the sum is 29.

The square root of 7967 is about 89.2580528580. The cubic root of 7967 is about 19.9724621006.

The spelling of 7967 in words is "seven thousand, nine hundred sixty-seven".