29312 has 16 divisors (see below), whose sum is σ = 58650. Its totient is φ = 14592.

The previous prime is 29311. The next prime is 29327. The reversal of 29312 is 21392.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 10816 = 136^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (29311) by changing a digit.

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 as a sum of consecutive naturals, namely, 14 + ... + 242.

2²⁹³¹² 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 29312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29325).

29312 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.

29312 is an equidigital number, since it uses as much as digits as its factorization.

29312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 29312 is about 171.2074764723. The cubic root of 29312 is about 30.8329551126.

The spelling of 29312 in words is "twenty-nine thousand, three hundred twelve".