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12597 = 3131719
BaseRepresentation
bin11000100110101
3122021120
43010311
5400342
6134153
751504
oct30465
918246
1012597
119512
127359
135970
14483b
153aec
hex3135

12597 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 6912.

The previous prime is 12589. The next prime is 12601. The reversal of 12597 is 79521.

12597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12597 - 23 = 12589 is a prime.

It is an Ulam 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 12597.

It is not an unprimeable number, because it can be changed into a prime (12517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

212597 is an apocalyptic number.

12597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12597 is a deficient number, since it is larger than the sum of its proper divisors (7563).

12597 is a wasteful number, since it uses less digits than its factorization.

12597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52.

The product of its digits is 630, while the sum is 24.

The square root of 12597 is about 112.2363577456. The cubic root of 12597 is about 23.2678207689.

Adding to 12597 its sum of digits (24), we get a palindrome (12621).

It can be divided in two parts, 125 and 97, that added together give a palindrome (222).

The spelling of 12597 in words is "twelve thousand, five hundred ninety-seven".

Divisors: 1 3 13 17 19 39 51 57 221 247 323 663 741 969 4199 12597