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BaseRepresentation
bin11001000000111
3122120100
43020013
5402212
6135143
752224
oct31007
918510
1012807
119693
1274b3
135aa2
14494b
153bdc
hex3207

12807 has 6 divisors (see below), whose sum is σ = 18512. Its totient is φ = 8532.

The previous prime is 12799. The next prime is 12809. The reversal of 12807 is 70821.

12807 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12807 - 23 = 12799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 703 + ... + 720.

212807 is an apocalyptic number.

12807 is a deficient number, since it is larger than the sum of its proper divisors (5705).

12807 is a wasteful number, since it uses less digits than its factorization.

12807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12807 is about 113.1680166832. The cubic root of 12807 is about 23.3964053211.

The spelling of 12807 in words is "twelve thousand, eight hundred seven".

Divisors: 1 3 9 1423 4269 12807