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23167 is a prime number
BaseRepresentation
bin101101001111111
31011210001
411221333
51220132
6255131
7124354
oct55177
934701
1023167
1116451
12114a7
13a711
14862b
156ce7
hex5a7f

23167 has 2 divisors, whose sum is σ = 23168. Its totient is φ = 23166.

The previous prime is 23159. The next prime is 23173. The reversal of 23167 is 76132.

It is a strong prime.

23167 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 23167 - 23 = 23159 is a prime.

It is a Chen prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11583 + 11584.

It is an arithmetic number, because the mean of its divisors is an integer number (11584).

223167 is an apocalyptic number.

23167 is a deficient number, since it is larger than the sum of its proper divisors (1).

23167 is an equidigital number, since it uses as much as digits as its factorization.

23167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 23167 is about 152.2070957610. The cubic root of 23167 is about 28.5073337031.

Adding to 23167 its reverse (76132), we get a palindrome (99299).

It can be divided in two parts, 23 and 167, that added together give a triangular number (190 = T19).

The spelling of 23167 in words is "twenty-three thousand, one hundred sixty-seven".