289238049 has 9 divisors (see below), whose sum is σ = 417862003. Its totient is φ = 192791352.

The previous prime is 289238023. The next prime is 289238057. The reversal of 289238049 is 940832982.

The square root of 289238049 is 17007.

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., 69605649 + 219632400 = 8343^2 + 14820^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 289238049 - 2⁹ = 289237537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 289237995 and 289238013.

It is not an unprimeable number, because it can be changed into a prime (289238009) 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 8 ways as a sum of consecutive naturals, for example, 48187 + ... + 53855.

Almost surely, 2^289238049 is an apocalyptic number.

289238049 is the 17007-th square number.

289238049 is the 8504-th centered octagonal number.

It is an amenable number.

289238049 is a deficient number, since it is larger than the sum of its proper divisors (128623954).

289238049 is an frugal number, since it uses more digits than its factorization.

289238049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 289238049 is about 661.3303812482.

The spelling of 289238049 in words is "two hundred eighty-nine million, two hundred thirty-eight thousand, forty-nine".