7684 has 12 divisors (see below), whose sum is σ = 14364. Its totient is φ = 3584.

The previous prime is 7681. The next prime is 7687. The reversal of 7684 is 4867.

7684 = 5² + 6² + ... + 28².

It is an interprime number because it is at equal distance from previous prime (7681) and next prime (7687).

It can be written as a sum of positive squares in 2 ways, for example, as 2500 + 5184 = 50^2 + 72^2 .

7684 is an undulating number in base 15.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (7681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁷⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

7684 is a deficient number, since it is larger than the sum of its proper divisors (6680).

7684 is a wasteful number, since it uses less digits than its factorization.

7684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 7684 is about 87.6584280032. The cubic root of 7684 is about 19.7331212947.

The spelling of 7684 in words is "seven thousand, six hundred eighty-four".