589566961 has 3 divisors (see below), whose sum is σ = 589591243. Its totient is φ = 589542680.

The previous prime is 589566911. The next prime is 589566973. The reversal of 589566961 is 169665985.

The square root of 589566961 is 24281.

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

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 can be written as a sum of positive squares in only one way, i.e., 564965361 + 24601600 = 23769^2 + 4960^2 .

It is not a de Polignac number, because 589566961 - 2²⁵ = 556012529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (589566911) 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 2 ways as a sum of consecutive naturals, for example, 12141 + ... + 36421.

Almost surely, 2^589566961 is an apocalyptic number.

589566961 is the 24281-st square number.

589566961 is the 12141-st centered octagonal number.

It is an amenable number.

589566961 is a deficient number, since it is larger than the sum of its proper divisors (24282).

589566961 is an frugal number, since it uses more digits than its factorization.

589566961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48562 (or 24281 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 55.

The cubic root of 589566961 is about 838.5154053944.

The spelling of 589566961 in words is "five hundred eighty-nine million, five hundred sixty-six thousand, nine hundred sixty-one".