1984872961 has 8 divisors (see below), whose sum is σ = 2136084264. Its totient is φ = 1837489920.

The previous prime is 1984872959. The next prime is 1984872997. The reversal of 1984872961 is 1692784891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36180225 + 1948692736 = 6015^2 + 44144^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1984872961 - 2¹ = 1984872959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1984872941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955990 + ... + 958063.

It is an arithmetic number, because the mean of its divisors is an integer number (267010533).

Almost surely, 2^1984872961 is an apocalyptic number.

It is an amenable number.

1984872961 is a deficient number, since it is larger than the sum of its proper divisors (151211303).

1984872961 is a wasteful number, since it uses less digits than its factorization.

1984872961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914131.

The product of its digits is 1741824, while the sum is 55.

The square root of 1984872961 is about 44551.9131014595. The cubic root of 1984872961 is about 1256.7365284760.

The spelling of 1984872961 in words is "one billion, nine hundred eighty-four million, eight hundred seventy-two thousand, nine hundred sixty-one".