6849 has 6 divisors (see below), whose sum is σ = 9906. Its totient is φ = 4560.

The previous prime is 6841. The next prime is 6857. The reversal of 6849 is 9486.

It is an interprime number because it is at equal distance from previous prime (6841) and next prime (6857).

It can be written as a sum of positive squares in only one way, i.e., 3600 + 3249 = 60^2 + 57^2 .

It is not a de Polignac number, because 6849 - 2³ = 6841 is a prime.

It is a d-powerful number, because it can be written as 6³ + 4³ + 8 + 9⁴ .

6849 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (1651).

2⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

6849 is a deficient number, since it is larger than the sum of its proper divisors (3057).

6849 is a wasteful number, since it uses less digits than its factorization.

6849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 764 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6849 is about 82.7586853448. The cubic root of 6849 is about 18.9907618987.

The spelling of 6849 in words is "six thousand, eight hundred forty-nine".