• 29 can be written using four 4's:

• If ^{2} + 7 and (+1)^{2} + 7 are both divisible by a number > 1, then = 29. (For example, this happens for = 14.)

• Sorting the digits of 2^{29} in ascending order we obtain a prime (12356789).

• Deleting all the even digits from 2^{29} = 536870912 we obtain a prime (53791).

29 has 2 divisors, whose sum is σ = 30. Its totient is φ = 28.

The previous prime is 23. The next prime is 31. The reversal of 29 is 92.

Added to its reverse (92) it gives a square (121 = 11^{2}).

29 is nontrivially palindromic in base 4.

29 is an esthetic number in base 6, base 9, base 13 and base 14, because in such bases its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25 + 4 = 5^2 + 2^2 .

29 is a truncatable prime.

It is a sliding number, since 29 = 4 + 25 and 1/4 + 1/25 = 0.29.

It is a cyclic number.

It is not a de Polignac number, because 29 - 2^{4} = 13 is a prime.

It is a Sophie Germain prime.

Together with 31, it forms a pair of twin primes.

It is a Chen prime.

29 is a Gilda number.

It is a tetranacci number.

It is a Lucas number.

It is a magnanimous number.

It is an alternating number because its digits alternate between even and odd.

It is a pancake number, because a pancake can be divided into 29 parts by 7 straight cuts.

29 is an undulating number in base 4.

29 is a modest number, since divided by 9 gives 2 as remainder.

It is the 12-th Perrin number.

It is a Curzon number.

It is a plaindrome in base 6, base 8, base 10, base 11, base 12, base 13, base 15 and base 16.

It is a nialpdrome in base 7, base 9 and base 14.

It is a congruent number.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14 + 15.

It is an arithmetic number, because the mean of its divisors is an integer number (15).

It is an amenable number.

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

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

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

The product of its digits is 18, while the sum is 11.

The square root of 29 is about 5.3851648071. The cubic root of 29 is about 3.0723168257.

Subtracting from 29 its product of digits (18), we obtain a palindrome (11).

Adding to 29 its reverse (92), we get a palindrome (121).

The spelling of 29 in words is "twenty-nine", and thus it is an aban number, an oban number, and an uban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.107 sec. • engine limits •