29829 has 8 divisors (see below), whose sum is σ = 40672. Its totient is φ = 19440.

The previous prime is 29819. The next prime is 29833. The reversal of 29829 is 92892.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 29829 - 2⁸ = 29573 is a prime.

It is a Duffinian number.

It is a Curzon number.

29829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 29796 and 29805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (5084).

2²⁹⁸²⁹ is an apocalyptic number.

It is an amenable number.

29829 is a deficient number, since it is larger than the sum of its proper divisors (10843).

29829 is a wasteful number, since it uses less digits than its factorization.

29829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 2592, while the sum is 30.

The square root of 29829 is about 172.7107408357. The cubic root of 29829 is about 31.0131751143.

It can be divided in two parts, 29 and 829, that added together give a palindrome (858).

The spelling of 29829 in words is "twenty-nine thousand, eight hundred twenty-nine".