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12673 = 192329
BaseRepresentation
bin11000110000001
3122101101
43012001
5401143
6134401
751643
oct30601
918341
1012673
119581
127401
1359cb
144893
153b4d
hex3181

12673 has 8 divisors (see below), whose sum is σ = 14400. Its totient is φ = 11088.

The previous prime is 12671. The next prime is 12689. The reversal of 12673 is 37621.

Subtracting from 12673 its product of digits (252), we obtain a palindrome (12421).

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 12673 - 21 = 12671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

12673 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 12673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

It is a Proth number, since it is equal to 99 ⋅ 27 + 1 and 99 < 27.

212673 is an apocalyptic number.

It is an amenable number.

12673 is a deficient number, since it is larger than the sum of its proper divisors (1727).

12673 is a wasteful number, since it uses less digits than its factorization.

12673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its digits is 252, while the sum is 19.

The square root of 12673 is about 112.5744198297. The cubic root of 12673 is about 23.3145199825.

The spelling of 12673 in words is "twelve thousand, six hundred seventy-three".

Divisors: 1 19 23 29 437 551 667 12673