289346092281 has 27 divisors (see below), whose sum is σ = 441145913871. Its totient is φ = 182725535664.

The previous prime is 289346092279. The next prime is 289346092289. The reversal of 289346092281 is 182290643982.

The square root of 289346092281 is 537909.

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

289346092281 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 4 + 609 + 2 + 28 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164937515625 + 124408576656 = 406125^2 + 352716^2 .

It is not a de Polignac number, because 289346092281 - 2¹ = 289346092279 is a prime.

It is a super-3 number, since 3×289346092281³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (289346092289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30656095 + ... + 30665531.

Almost surely, 2^289346092281 is an apocalyptic number.

289346092281 is the 537909-th square number.

289346092281 is the 268955-th centered octagonal number.

It is an amenable number.

289346092281 is a deficient number, since it is larger than the sum of its proper divisors (151799821590).

289346092281 is an frugal number, since it uses more digits than its factorization.

289346092281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18918 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 289346092281 in words is "two hundred eighty-nine billion, three hundred forty-six million, ninety-two thousand, two hundred eighty-one".