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992 = 2531

992 has 12 divisors (see below), whose sum is σ = 2016. Its totient is φ = 480.

The previous prime is 991. The next prime is 997. The reversal of 992 is 299.

992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

992 is an admirable number.

It is a magnanimous number.

It is a nialpdrome in base 2, base 4, base 6, base 10 and base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991) 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 as a sum of consecutive naturals, namely, 17 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

It is a pronic number, being equal to 31×32.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008).

992 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

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

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

The sum of its prime factors is 41 (or 33 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 992 is about 31.4960314960. The cubic root of 992 is about 9.9732619045.

It can be divided in two parts, 99 and 2, that added together give a palindrome (101).

The spelling of 992 in words is "nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992