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13167 = 3271119
BaseRepresentation
bin11001101101111
3200001200
43031233
5410132
6140543
753250
oct31557
920050
1013167
119990
127753
135cbb
144b27
153d7c
hex336f

13167 has 24 divisors (see below), whose sum is σ = 24960. Its totient is φ = 6480.

The previous prime is 13163. The next prime is 13171. The reversal of 13167 is 76131.

Subtracting from 13167 its product of digits (126), we obtain a triangular number (13041 = T161).

Adding to 13167 its reverse (76131), we get a palindrome (89298).

It is an interprime number because it is at equal distance from previous prime (13163) and next prime (13171).

It is not a de Polignac number, because 13167 - 22 = 13163 is a prime.

13167 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (1040).

213167 is an apocalyptic number.

13167 is a deficient number, since it is larger than the sum of its proper divisors (11793).

13167 is a wasteful number, since it uses less digits than its factorization.

13167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 40 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 13167 is about 114.7475489934. The cubic root of 13167 is about 23.6136041453.

The spelling of 13167 in words is "thirteen thousand, one hundred sixty-seven".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 13167