29971712 has 54 divisors (see below), whose sum is σ = 62279658. Its totient is φ = 14390272.

The previous prime is 29971709. The next prime is 29971717. The reversal of 29971712 is 21717992.

29971712 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 27709696 + 2262016 = 5264^2 + 1504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29971717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 565478 + ... + 565530.

It is an arithmetic number, because the mean of its divisors is an integer number (1153327).

Almost surely, 2^29971712 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 29971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31139829).

29971712 is an abundant number, since it is smaller than the sum of its proper divisors (32307946).

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

29971712 is an frugal number, since it uses more digits than its factorization.

29971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 102 counting only the distinct ones).

The product of its digits is 15876, while the sum is 38.

The square root of 29971712 is about 5474.6426367389. The cubic root of 29971712 is about 310.6255561123.

The spelling of 29971712 in words is "twenty-nine million, nine hundred seventy-one thousand, seven hundred twelve".