6820749 has 24 divisors (see below), whose sum is σ = 10737272. Its totient is φ = 4147200.

The previous prime is 6820741. The next prime is 6820769. The reversal of 6820749 is 9470286.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 5978025 = 918^2 + 2445^2 .

It is not a de Polignac number, because 6820749 - 2³ = 6820741 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 11649.

Almost surely, 2^6820749 is an apocalyptic number.

It is an amenable number.

6820749 is a deficient number, since it is larger than the sum of its proper divisors (3916523).

6820749 is a wasteful number, since it uses less digits than its factorization.

6820749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6820749 is about 2611.6563709646. The cubic root of 6820749 is about 189.6461465681.

It can be divided in two parts, 6820 and 749, that added together give a square (7569 = 87²).

The spelling of 6820749 in words is "six million, eight hundred twenty thousand, seven hundred forty-nine".