6772337 has 12 divisors (see below), whose sum is σ = 8002224. Its totient is φ = 5681520.

The previous prime is 6772333. The next prime is 6772343. The reversal of 6772337 is 7332776.

It is not a de Polignac number, because 6772337 - 2² = 6772333 is a prime.

It is a d-powerful number, because it can be written as 6⁶ + 7⁶ + 7⁷ + 2 + 3 + 3⁹ + 7⁸ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6772297 and 6772306.

It is not an unprimeable number, because it can be changed into a prime (6772333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (666852).

Almost surely, 2^6772337 is an apocalyptic number.

It is an amenable number.

6772337 is a deficient number, since it is larger than the sum of its proper divisors (1229887).

6772337 is a wasteful number, since it uses less digits than its factorization.

6772337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3667 counting only the distinct ones).

The product of its digits is 37044, while the sum is 35.

The square root of 6772337 is about 2602.3714185335. The cubic root of 6772337 is about 189.1963935593.

The spelling of 6772337 in words is "six million, seven hundred seventy-two thousand, three hundred thirty-seven".