29850 has 24 divisors (see below), whose sum is σ = 74400. Its totient is φ = 7920.

The previous prime is 29837. The next prime is 29851. The reversal of 29850 is 5892.

It is an Ulam number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29850.

It is not an unprimeable number, because it can be changed into a prime (29851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2²⁹⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

29850 is an abundant number, since it is smaller than the sum of its proper divisors (44550).

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

29850 is a wasteful number, since it uses less digits than its factorization.

29850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

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

The square root of 29850 is about 172.7715254317. The cubic root of 29850 is about 31.0204512985.

The spelling of 29850 in words is "twenty-nine thousand, eight hundred fifty".