7687 has 2 divisors, whose sum is σ = 7688. Its totient is φ = 7686.

The previous prime is 7681. The next prime is 7691. The reversal of 7687 is 7867.

It is a strong prime.

It is an emirp because it is prime and its reverse (7867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7687 - 2⁷ = 7559 is a prime.

7687 is a lucky number.

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7681) 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 as a sum of consecutive naturals, namely, 3843 + 3844.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

2⁷⁶⁸⁷ is an apocalyptic number.

7687 is a deficient number, since it is larger than the sum of its proper divisors (1).

7687 is an equidigital number, since it uses as much as digits as its factorization.

7687 is an odious number, because the sum of its binary digits is odd.

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

The square root of 7687 is about 87.6755382076. The cubic root of 7687 is about 19.7356890398.

Subtracting from 7687 its product of digits (2352), we obtain a palindrome (5335).

The spelling of 7687 in words is "seven thousand, six hundred eighty-seven".