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12997 = 41317
BaseRepresentation
bin11001011000101
3122211101
43023011
5403442
6140101
752615
oct31305
918741
1012997
119846
127631
135bba
144a45
153cb7
hex32c5

12997 has 4 divisors (see below), whose sum is σ = 13356. Its totient is φ = 12640.

The previous prime is 12983. The next prime is 13001. The reversal of 12997 is 79921.

12997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1142+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 79921 = 229349.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 12321 = 26^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 12997 - 211 = 10949 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907) 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 3 ways as a sum of consecutive naturals, for example, 118 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (3339).

212997 is an apocalyptic number.

It is an amenable number.

12997 is a deficient number, since it is larger than the sum of its proper divisors (359).

12997 is an equidigital number, since it uses as much as digits as its factorization.

12997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its digits is 1134, while the sum is 28.

The square root of 12997 is about 114.0043858805. The cubic root of 12997 is about 23.5115380191.

The spelling of 12997 in words is "twelve thousand, nine hundred ninety-seven".

Divisors: 1 41 317 12997