9992 has 8 divisors (see below), whose sum is σ = 18750. Its totient is φ = 4992.

The previous prime is 9973. The next prime is 10007. The reversal of 9992 is 2999.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 1156 = 94^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9992.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 617 + ... + 632.

It is an amenable number.

9992 is a deficient number, since it is larger than the sum of its proper divisors (8758).

9992 is a wasteful number, since it uses less digits than its factorization.

9992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its digits is 1458, while the sum is 29.

The square root of 9992 is about 99.9599919968. The cubic root of 9992 is about 21.5386002084.

It can be divided in two parts, 999 and 2, that added together give a palindrome (1001).

The spelling of 9992 in words is "nine thousand, nine hundred ninety-two".