589081441 has 9 divisors (see below), whose sum is σ = 638222931. Its totient is φ = 543476232.

The previous prime is 589081397. The next prime is 589081447. The reversal of 589081441 is 144180985.

The square root of 589081441 is 24271.

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

It can be written as a sum of positive squares in only one way, i.e., 87142225 + 501939216 = 9335^2 + 22404^2 .

It is not a de Polignac number, because 589081441 - 2⁹ = 589080929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 589081394 and 589081403.

It is not an unprimeable number, because it can be changed into a prime (589081447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314590 + ... + 316456.

It is an arithmetic number, because the mean of its divisors is an integer number (70913659).

Almost surely, 2^589081441 is an apocalyptic number.

589081441 is the 24271-st square number.

589081441 is the 12136-th centered octagonal number.

It is an amenable number.

589081441 is a deficient number, since it is larger than the sum of its proper divisors (49141490).

589081441 is an frugal number, since it uses more digits than its factorization.

589081441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The cubic root of 589081441 is about 838.2851641983.

The spelling of 589081441 in words is "five hundred eighty-nine million, eighty-one thousand, four hundred forty-one".