29814 has 8 divisors (see below), whose sum is σ = 59640. Its totient is φ = 9936.

The previous prime is 29803. The next prime is 29819. The reversal of 29814 is 41892.

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

29814 is an admirable number.

It is an Ulam number.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29814.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2479 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (7455).

2²⁹⁸¹⁴ is an apocalyptic number.

29814 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820).

29814 is a wasteful number, since it uses less digits than its factorization.

29814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974.

The product of its digits is 576, while the sum is 24.

The square root of 29814 is about 172.6673101661. The cubic root of 29814 is about 31.0079757487.

The spelling of 29814 in words is "twenty-nine thousand, eight hundred fourteen".