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13017 = 34339
BaseRepresentation
bin11001011011001
3122212010
43023121
5404032
6140133
752644
oct31331
918763
1013017
119864
127649
135c04
144a5b
153ccc
hex32d9

13017 has 4 divisors (see below), whose sum is σ = 17360. Its totient is φ = 8676.

The previous prime is 13009. The next prime is 13033. The reversal of 13017 is 71031.

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: 71031 = 323677.

It is not a de Polignac number, because 13017 - 23 = 13009 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12993 and 13011.

It is not an unprimeable number, because it can be changed into a prime (13007) 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, 2167 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

213017 is an apocalyptic number.

It is an amenable number.

13017 is a deficient number, since it is larger than the sum of its proper divisors (4343).

13017 is an equidigital number, since it uses as much as digits as its factorization.

13017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13017 is about 114.0920680854. The cubic root of 13017 is about 23.5235918204.

Subtracting from 13017 its product of nonzero digits (21), we obtain a square (12996 = 1142).

Adding to 13017 its reverse (71031), we get a palindrome (84048).

The spelling of 13017 in words is "thirteen thousand, seventeen".

Divisors: 1 3 4339 13017