289646361 has 45 divisors (see below), whose sum is σ = 454538799. Its totient is φ = 183805200.

The previous prime is 289646351. The next prime is 289646363. The reversal of 289646361 is 163646982.

The square root of 289646361 is 17019.

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

289646361 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 4 + 636 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9418761 + 280227600 = 3069^2 + 16740^2 .

It is not a de Polignac number, because 289646361 - 2¹³ = 289638169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289646363) 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 44 ways as a sum of consecutive naturals, for example, 4748271 + ... + 4748331.

Almost surely, 2^289646361 is an apocalyptic number.

289646361 is the 17019-th square number.

289646361 is the 8510-th centered octagonal number.

It is an amenable number.

289646361 is a deficient number, since it is larger than the sum of its proper divisors (164892438).

289646361 is an frugal number, since it uses more digits than its factorization.

289646361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 95 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The cubic root of 289646361 is about 661.6414308791.

The spelling of 289646361 in words is "two hundred eighty-nine million, six hundred forty-six thousand, three hundred sixty-one".