7988 has 6 divisors (see below), whose sum is σ = 13986. Its totient is φ = 3992.

The previous prime is 7963. The next prime is 7993. The reversal of 7988 is 8897.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 3364 = 68^2 + 58^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

7988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 995 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (2331).

2⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

7988 is a deficient number, since it is larger than the sum of its proper divisors (5998).

7988 is a wasteful number, since it uses less digits than its factorization.

7988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 7988 is about 89.3756118860. The cubic root of 7988 is about 19.9899949958.

Subtracting 7988 from its reverse (8897), we obtain a palindrome (909).

The spelling of 7988 in words is "seven thousand, nine hundred eighty-eight".