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996 = 22383

• 996 can be written using four 4's:

See also 113.
996 has 12 divisors (see below), whose sum is σ = 2352. Its totient is φ = 328.

The previous prime is 991. The next prime is 997. The reversal of 996 is 699.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 10.

It is not an unprimeable number, because it can be changed into a prime (991) by changing a digit.

996 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 in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 53.

It is an arithmetic number, because the mean of its divisors is an integer number (196).

It is an amenable number.

996 is an abundant number, since it is smaller than the sum of its proper divisors (1356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176).

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

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

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 996 is about 31.5594676761. The cubic root of 996 is about 9.9866488493.

It can be divided in two parts, 99 and 6, that added together give a triangular number (105 = T14).

The spelling of 996 in words is "nine hundred ninety-six", and thus it is an aban number and an oban number.

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996