29805312 has 54 divisors (see below), whose sum is σ = 79730308. Its totient is φ = 9884672.

The previous prime is 29805289. The next prime is 29805329. The reversal of 29805312 is 21350892.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29805312.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151198 + ... + 151394.

Almost surely, 2^29805312 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 29805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39865154).

29805312 is an abundant number, since it is smaller than the sum of its proper divisors (49924996).

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

29805312 is an frugal number, since it uses more digits than its factorization.

29805312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 29805312 is about 5459.4241454571. The cubic root of 29805312 is about 310.0496347857.

The spelling of 29805312 in words is "twenty-nine million, eight hundred five thousand, three hundred twelve".