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13823 = 23601
BaseRepresentation
bin11010111111111
3200221222
43113333
5420243
6143555
755205
oct32777
920858
1013823
11a427
127bbb
1363a4
145075
154168
hex35ff

13823 has 4 divisors (see below), whose sum is σ = 14448. Its totient is φ = 13200.

The previous prime is 13807. The next prime is 13829. The reversal of 13823 is 32831.

It is a Cunningham number, because it is equal to 243-1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13823 - 24 = 13807 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (3612).

13823 is a Friedman number, since it can be written as (32-8)^3-1, using all its digits and the basic arithmetic operations.

213823 is an apocalyptic number.

13823 is a deficient number, since it is larger than the sum of its proper divisors (625).

13823 is an equidigital number, since it uses as much as digits as its factorization.

13823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624.

The product of its digits is 144, while the sum is 17.

The square root of 13823 is about 117.5712549903. The cubic root of 13823 is about 23.9994212823. Note that the first 3 decimals are identical.

It can be divided in two parts, 138 and 23, that added together give a palindrome (161).

The spelling of 13823 in words is "thirteen thousand, eight hundred twenty-three".

Divisors: 1 23 601 13823