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6996 = 2231153

6996 has 24 divisors (see below), whose sum is σ = 18144. Its totient is φ = 2080.

The previous prime is 6991. The next prime is 6997.

6996 is nontrivially palindromic in base 10.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6996.

It is not an unprimeable number, because it can be changed into a prime (6991) by changing a digit.

6996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

26996 is an apocalyptic number.

6996 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).

6996 is an abundant number, since it is smaller than the sum of its proper divisors (11148).

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

6996 is a wasteful number, since it uses less digits than its factorization.

6996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 6996 is about 83.6420946653. The cubic root of 6996 is about 19.1256674550.

The spelling of 6996 in words is "six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996