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12831 = 371347
BaseRepresentation
bin11001000011111
3122121020
43020133
5402311
6135223
752260
oct31037
918536
1012831
119705
127513
135ac0
144967
153c06
hex321f

12831 has 16 divisors (see below), whose sum is σ = 21504. Its totient is φ = 6624.

The previous prime is 12829. The next prime is 12841. The reversal of 12831 is 13821.

It is a happy number.

It is not a de Polignac number, because 12831 - 21 = 12829 is a prime.

It is a super-2 number, since 2×128312 = 329269122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821) 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, 250 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

212831 is an apocalyptic number.

12831 is a deficient number, since it is larger than the sum of its proper divisors (8673).

12831 is a wasteful number, since it uses less digits than its factorization.

12831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its digits is 48, while the sum is 15.

The square root of 12831 is about 113.2740040786. The cubic root of 12831 is about 23.4110109623.

Subtracting 12831 from its reverse (13821), we obtain a triangular number (990 = T44).

The spelling of 12831 in words is "twelve thousand, eight hundred thirty-one".

Divisors: 1 3 7 13 21 39 47 91 141 273 329 611 987 1833 4277 12831