29805 has 8 divisors (see below), whose sum is σ = 47712. Its totient is φ = 15888.

The previous prime is 29803. The next prime is 29819. The reversal of 29805 is 50892.

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

It is not a de Polignac number, because 29805 - 2¹ = 29803 is a prime.

It is a Curzon number.

29805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (5964).

2²⁹⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

29805 is a deficient number, since it is larger than the sum of its proper divisors (17907).

29805 is a wasteful number, since it uses less digits than its factorization.

29805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 29805 is about 172.6412465201. The cubic root of 29805 is about 31.0048552922.

The spelling of 29805 in words is "twenty-nine thousand, eight hundred five".