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12741 = 331137
BaseRepresentation
bin11000111000101
3122110220
43013011
5401431
6134553
752101
oct30705
918426
1012741
119633
127459
135a51
144901
153b96
hex31c5

12741 has 8 divisors (see below), whose sum is σ = 17664. Its totient is φ = 8160.

The previous prime is 12739. The next prime is 12743. The reversal of 12741 is 14721.

12741 is digitally balanced in base 2, because in such base 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 (12739) and next prime (12743).

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

It is not a de Polignac number, because 12741 - 21 = 12739 is a prime.

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

12741 is a lucky number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743) 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, 25 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (2208).

212741 is an apocalyptic number.

It is an amenable number.

12741 is a deficient number, since it is larger than the sum of its proper divisors (4923).

12741 is a wasteful number, since it uses less digits than its factorization.

12741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its digits is 56, while the sum is 15.

The square root of 12741 is about 112.8760382012. The cubic root of 12741 is about 23.3561454906.

It can be divided in two parts, 1274 and 1, that added together give a triangular number (1275 = T50).

The spelling of 12741 in words is "twelve thousand, seven hundred forty-one", and thus it is an iban number.

Divisors: 1 3 31 93 137 411 4247 12741