6994 has 8 divisors (see below), whose sum is σ = 11340. Its totient is φ = 3216.

The previous prime is 6991. The next prime is 6997. The reversal of 6994 is 4996.

Subtracting from 6994 its product of digits (1944), we obtain a triangular number (5050 = T_{100}).

It can be divided in two parts, 699 and 4, that added together give a triangular number (703 = T_{37}).

6994 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (6991) and next prime (6997).

It can be written as a sum of positive squares in 2 ways, for example, as 5625 + 1369 = 75^2 + 37^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

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

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 3 ways as a sum of consecutive naturals, for example, 109 + ... + 160.

2^{6994} is an apocalyptic number.

6994 is a deficient number, since it is larger than the sum of its proper divisors (4346).

6994 is a wasteful number, since it uses less digits than its factorization.

6994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its digits is 1944, while the sum is 28.

The square root of 6994 is about 83.6301381082. The cubic root of 6994 is about 19.1238447477.

The spelling of 6994 in words is "six thousand, nine hundred ninety-four".

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