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12963 = 329149
BaseRepresentation
bin11001010100011
3122210010
43022203
5403323
6140003
752536
oct31243
918703
1012963
119815
127603
135b92
144a1d
153c93
hex32a3

12963 has 8 divisors (see below), whose sum is σ = 18000. Its totient is φ = 8288.

The previous prime is 12959. The next prime is 12967. The reversal of 12963 is 36921.

12963 is nontrivially palindromic in base 4.

12963 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12959) and next prime (12967).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12963 - 22 = 12959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12967) 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 7 ways as a sum of consecutive naturals, for example, 13 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

212963 is an apocalyptic number.

12963 is a deficient number, since it is larger than the sum of its proper divisors (5037).

12963 is a wasteful number, since it uses less digits than its factorization.

12963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 324, while the sum is 21.

The square root of 12963 is about 113.8551711606. The cubic root of 12963 is about 23.4910181459.

The spelling of 12963 in words is "twelve thousand, nine hundred sixty-three".

Divisors: 1 3 29 87 149 447 4321 12963