6736 has 10 divisors (see below), whose sum is σ = 13082. Its totient is φ = 3360.

The previous prime is 6733. The next prime is 6737. The reversal of 6736 is 6376.

It is a happy number.

6736 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 3136 = 60^2 + 56^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6733) 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, 195 + ... + 226.

2⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

6736 is a deficient number, since it is larger than the sum of its proper divisors (6346).

6736 is a wasteful number, since it uses less digits than its factorization.

6736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 6736 is about 82.0731381147. The cubic root of 6736 is about 18.8857408569.

The spelling of 6736 in words is "six thousand, seven hundred thirty-six".