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6831 = 331123
BaseRepresentation
bin1101010101111
3100101000
41222233
5204311
651343
725626
oct15257
910330
106831
115150
123b53
133156
1426bd
152056
hex1aaf

6831 has 16 divisors (see below), whose sum is σ = 11520. Its totient is φ = 3960.

The previous prime is 6829. The next prime is 6833. The reversal of 6831 is 1386.

It is an interprime number because it is at equal distance from previous prime (6829) and next prime (6833).

It is not a de Polignac number, because 6831 - 21 = 6829 is a prime.

It is a super-2 number, since 2×68312 = 93325122, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 4, base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

26831 is an apocalyptic number.

6831 is a deficient number, since it is larger than the sum of its proper divisors (4689).

6831 is a wasteful number, since it uses less digits than its factorization.

6831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 37 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 6831 is about 82.6498638837. The cubic root of 6831 is about 18.9741106303.

Subtracting from 6831 its reverse (1386), we obtain a palindrome (5445).

It can be divided in two parts, 68 and 31, that added together give a palindrome (99).

The spelling of 6831 in words is "six thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831