204977682 has 192 divisors, whose sum is σ = 586051200. Its totient is φ = 52617600.

The previous prime is 204977677. The next prime is 204977693. The reversal of 204977682 is 286779402.

204977682 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2029432 + ... + 2029532.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^204977682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204977682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

204977682 is an abundant number, since it is smaller than the sum of its proper divisors (381073518).

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

204977682 is a wasteful number, since it uses less digits than its factorization.

204977682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 204977682 is about 14317.0416636958. The cubic root of 204977682 is about 589.6154556346.

The spelling of 204977682 in words is "two hundred four million, nine hundred seventy-seven thousand, six hundred eighty-two".