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12969 = 3211131
BaseRepresentation
bin11001010101001
3122210100
43022221
5403334
6140013
752545
oct31251
918710
1012969
119820
127609
135b98
144a25
153c99
hex32a9

12969 has 12 divisors (see below), whose sum is σ = 20592. Its totient is φ = 7800.

The previous prime is 12967. The next prime is 12973. The reversal of 12969 is 96921.

It is a happy number.

12969 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 not a de Polignac number, because 12969 - 21 = 12967 is a prime.

It is a super-2 number, since 2×129692 = 336389922, which contains 22 as substring.

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

It is a Curzon number.

12969 is a lucky number.

It is a nialpdrome in base 11.

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 11 ways as a sum of consecutive naturals, for example, 34 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1716).

212969 is an apocalyptic number.

It is an amenable number.

12969 is a deficient number, since it is larger than the sum of its proper divisors (7623).

12969 is a wasteful number, since it uses less digits than its factorization.

12969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 12969 is about 113.8815173766. The cubic root of 12969 is about 23.4946419050.

Adding to 12969 its sum of digits (27), we get a square (12996 = 1142).

It can be divided in two parts, 1296 and 9, that multiplied together give a square (11664 = 1082).

The spelling of 12969 in words is "twelve thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969