29224 has 16 divisors (see below), whose sum is σ = 59220. Its totient is φ = 13440.

The previous prime is 29221. The next prime is 29231. The reversal of 29224 is 42292.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28900 + 324 = 170^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (29221) 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, 37 + ... + 244.

2²⁹²²⁴ is an apocalyptic number.

It is an amenable number.

29224 is an abundant number, since it is smaller than the sum of its proper divisors (29996).

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 (29610).

29224 is a wasteful number, since it uses less digits than its factorization.

29224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 29224 is about 170.9502851709. The cubic root of 29224 is about 30.8020687878.

It can be divided in two parts, 2922 and 4, that added together give a triangular number (2926 = T₇₆).

The spelling of 29224 in words is "twenty-nine thousand, two hundred twenty-four".