204784305961 has 3 divisors (see below), whose sum is σ = 204784758493. Its totient is φ = 204783853430.

The previous prime is 204784305953. The next prime is 204784305967. The reversal of 204784305961 is 169503487402.

It is a happy number.

The square root of 204784305961 is 452531.

It is a perfect power (a square), and thus also a powerful number.

204784305961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 204784305961 - 2³ = 204784305953 is a prime.

It is a super-4 number, since 4×204784305961⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204784305967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 226266 + ... + 678796.

It is a 1-persistent number, because it is pandigital, but 2⋅204784305961 = 409568611922 is not.

Almost surely, 2^204784305961 is an apocalyptic number.

204784305961 is the 452531-st square number.

204784305961 is the 226266-th centered octagonal number.

It is an amenable number.

204784305961 is a deficient number, since it is larger than the sum of its proper divisors (452532).

204784305961 is an frugal number, since it uses more digits than its factorization.

204784305961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905062 (or 452531 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 204784305961 by its sum of digits (49), we get a square (10034430992089 = 3167717²).

The spelling of 204784305961 in words is "two hundred four billion, seven hundred eighty-four million, three hundred five thousand, nine hundred sixty-one".