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12959 is a prime number
BaseRepresentation
bin11001010011111
3122202222
43022133
5403314
6135555
752532
oct31237
918688
1012959
119811
1275bb
135b8b
144a19
153c8e
hex329f

12959 has 2 divisors, whose sum is σ = 12960. Its totient is φ = 12958.

The previous prime is 12953. The next prime is 12967. The reversal of 12959 is 95921.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12959 - 28 = 12703 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 6.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6479 + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

212959 is an apocalyptic number.

12959 is a deficient number, since it is larger than the sum of its proper divisors (1).

12959 is an equidigital number, since it uses as much as digits as its factorization.

12959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 26.

The square root of 12959 is about 113.8376036290. The cubic root of 12959 is about 23.4886016852.

The spelling of 12959 in words is "twelve thousand, nine hundred fifty-nine".