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13387 = 111217
BaseRepresentation
bin11010001001011
3200100211
43101023
5412022
6141551
754013
oct32113
920324
1013387
11a070
1278b7
13612a
144c43
153e77
hex344b

13387 has 4 divisors (see below), whose sum is σ = 14616. Its totient is φ = 12160.

The previous prime is 13381. The next prime is 13397. The reversal of 13387 is 78331.

13387 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 78331 = 117121.

It is a cyclic number.

It is not a de Polignac number, because 13387 - 27 = 13259 is a prime.

It is a Duffinian number.

13387 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13381) 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 3 ways as a sum of consecutive naturals, for example, 598 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (3654).

213387 is an apocalyptic number.

13387 is a deficient number, since it is larger than the sum of its proper divisors (1229).

13387 is a wasteful number, since it uses less digits than its factorization.

13387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its digits is 504, while the sum is 22.

The square root of 13387 is about 115.7022039548. The cubic root of 13387 is about 23.7443938753.

It can be divided in two parts, 13 and 387, that added together give a square (400 = 202).

The spelling of 13387 in words is "thirteen thousand, three hundred eighty-seven".

Divisors: 1 11 1217 13387