29984 has 12 divisors (see below), whose sum is σ = 59094. Its totient is φ = 14976.

The previous prime is 29983. The next prime is 29989. The reversal of 29984 is 48992.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 400 = 172^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 937 = 29984 / (2 + 9 + 9 + 8 + 4).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 29984.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29984.

It is not an unprimeable number, because it can be changed into a prime (29983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 437 + ... + 500.

2²⁹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

29984 is a deficient number, since it is larger than the sum of its proper divisors (29110).

29984 is an equidigital number, since it uses as much as digits as its factorization.

29984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 29984 is about 173.1588865753. The cubic root of 29984 is about 31.0668001083.

It can be divided in two parts, 299 and 84, that added together give a palindrome (383).

The spelling of 29984 in words is "twenty-nine thousand, nine hundred eighty-four".