29216 has 24 divisors (see below), whose sum is σ = 63504. Its totient is φ = 13120.

The previous prime is 29209. The next prime is 29221. The reversal of 29216 is 61292.

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

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29216.

It is an unprimeable number.

29216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2²⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752).

29216 is an abundant number, since it is smaller than the sum of its proper divisors (34288).

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

29216 is a wasteful number, since it uses less digits than its factorization.

29216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 29216 is about 170.9268849538. The cubic root of 29216 is about 30.7992578671.

The spelling of 29216 in words is "twenty-nine thousand, two hundred sixteen".