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13993 = 71999
BaseRepresentation
bin11011010101001
3201012021
43122221
5421433
6144441
755540
oct33251
921167
1013993
11a571
128121
1364a5
145157
15422d
hex36a9

13993 has 4 divisors (see below), whose sum is σ = 16000. Its totient is φ = 11988.

The previous prime is 13967. The next prime is 13997. The reversal of 13993 is 39931.

13993 is nontrivially palindromic in base 6.

13993 is digitally balanced in base 3, 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 a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39931 = 73547.

It is a cyclic number.

It is not a de Polignac number, because 13993 - 213 = 5801 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13997) 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, 993 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (4000).

213993 is an apocalyptic number.

It is an amenable number.

13993 is a deficient number, since it is larger than the sum of its proper divisors (2007).

13993 is an equidigital number, since it uses as much as digits as its factorization.

13993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006.

The product of its digits is 729, while the sum is 25.

The square root of 13993 is about 118.2920115646. The cubic root of 13993 is about 24.0974050683.

It can be divided in two parts, 139 and 93, that added together give a palindrome (232).

The spelling of 13993 in words is "thirteen thousand, nine hundred ninety-three".

Divisors: 1 7 1999 13993