7667 has 8 divisors (see below), whose sum is σ = 9072. Its totient is φ = 6400.

The previous prime is 7649. The next prime is 7669.

7667 is nontrivially palindromic in base 6 and base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 7667 - 2⁶ = 7603 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (7669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2⁷⁶⁶⁷ is an apocalyptic number.

7667 is a deficient number, since it is larger than the sum of its proper divisors (1405).

7667 is a wasteful number, since it uses less digits than its factorization.

7667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 1764, while the sum is 26.

The square root of 7667 is about 87.5614070239. The cubic root of 7667 is about 19.7185581003.

The spelling of 7667 in words is "seven thousand, six hundred sixty-seven".