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12591 = 321399
BaseRepresentation
bin11000100101111
3122021100
43010233
5400331
6134143
751465
oct30457
918240
1012591
119507
127353
135967
144835
153ae6
hex312f

12591 has 6 divisors (see below), whose sum is σ = 18200. Its totient is φ = 8388.

The previous prime is 12589. The next prime is 12601. The reversal of 12591 is 19521.

12591 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12591 - 21 = 12589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12591.

It is not an unprimeable number, because it can be changed into a prime (12511) 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, 691 + ... + 708.

212591 is an apocalyptic number.

12591 is a deficient number, since it is larger than the sum of its proper divisors (5609).

12591 is a wasteful number, since it uses less digits than its factorization.

12591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 12591 is about 112.2096252556. The cubic root of 12591 is about 23.2641259978.

It can be divided in two parts, 125 and 91, that added together give a cube (216 = 63).

The spelling of 12591 in words is "twelve thousand, five hundred ninety-one".

Divisors: 1 3 9 1399 4197 12591