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29167 is a prime number
BaseRepresentation
bin111000111101111
31111000021
413013233
51413132
6343011
7151015
oct70757
944007
1029167
111aa06
1214a67
1310378
14a8b5
158997
hex71ef

29167 has 2 divisors, whose sum is σ = 29168. Its totient is φ = 29166.

The previous prime is 29153. The next prime is 29173. The reversal of 29167 is 76192.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29137) 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, 14583 + 14584.

It is an arithmetic number, because the mean of its divisors is an integer number (14584).

229167 is an apocalyptic number.

29167 is a deficient number, since it is larger than the sum of its proper divisors (1).

29167 is an equidigital number, since it uses as much as digits as its factorization.

29167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 29167 is about 170.7834886633. The cubic root of 29167 is about 30.7820297714.

Adding to 29167 its sum of digits (25), we get a palindrome (29192).

It can be divided in two parts, 29 and 167, that added together give a square (196 = 142).

The spelling of 29167 in words is "twenty-nine thousand, one hundred sixty-seven".