204971712 has 224 divisors, whose sum is σ = 631935744. Its totient is φ = 58060800.

The previous prime is 204971707. The next prime is 204971713. The reversal of 204971712 is 217179402.

204971712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (204971713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3360162 + ... + 3360222.

Almost surely, 2^204971712 is an apocalyptic number.

204971712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315967872).

204971712 is an abundant number, since it is smaller than the sum of its proper divisors (426964032).

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

204971712 is a wasteful number, since it uses less digits than its factorization.

204971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 204971712 is about 14316.8331693849. The cubic root of 204971712 is about 589.6097313717.

The spelling of 204971712 in words is "two hundred four million, nine hundred seventy-one thousand, seven hundred twelve".