6726737 has 2 divisors, whose sum is σ = 6726738. Its totient is φ = 6726736.

The previous prime is 6726697. The next prime is 6726739. The reversal of 6726737 is 7376276.

6726737 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6713281 + 13456 = 2591^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 6726737 - 2⁸ = 6726481 is a prime.

Together with 6726739, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6726737.

It is not a weakly prime, because it can be changed into another prime (6726739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3363368 + 3363369.

It is an arithmetic number, because the mean of its divisors is an integer number (3363369).

Almost surely, 2^6726737 is an apocalyptic number.

It is an amenable number.

6726737 is a deficient number, since it is larger than the sum of its proper divisors (1).

6726737 is an equidigital number, since it uses as much as digits as its factorization.

6726737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 74088, while the sum is 38.

The square root of 6726737 is about 2593.5953809336. The cubic root of 6726737 is about 188.7707998656.

The spelling of 6726737 in words is "six million, seven hundred twenty-six thousand, seven hundred thirty-seven".