6746581 has 2 divisors, whose sum is σ = 6746582. Its totient is φ = 6746580.

The previous prime is 6746557. The next prime is 6746599. The reversal of 6746581 is 1856476.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6426225 + 320356 = 2535^2 + 566^2 .

It is a cyclic number.

It is not a de Polignac number, because 6746581 - 2⁵ = 6746549 is a prime.

It is a super-3 number, since 3×6746581³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 6746581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6746281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3373290 + 3373291.

It is an arithmetic number, because the mean of its divisors is an integer number (3373291).

Almost surely, 2^6746581 is an apocalyptic number.

It is an amenable number.

6746581 is a deficient number, since it is larger than the sum of its proper divisors (1).

6746581 is an equidigital number, since it uses as much as digits as its factorization.

6746581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40320, while the sum is 37.

The square root of 6746581 is about 2597.4181411548. The cubic root of 6746581 is about 188.9562434281.

The spelling of 6746581 in words is "six million, seven hundred forty-six thousand, five hundred eighty-one".