289313073 has 64 divisors (see below), whose sum is σ = 507781120. Its totient is φ = 159376896.

The previous prime is 289313047. The next prime is 289313083. The reversal of 289313073 is 370313982.

It is a happy number.

It is not a de Polignac number, because 289313073 - 2¹² = 289308977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289313023) 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 63 ways as a sum of consecutive naturals, for example, 788136 + ... + 788502.

It is an arithmetic number, because the mean of its divisors is an integer number (7934080).

Almost surely, 2^289313073 is an apocalyptic number.

It is an amenable number.

289313073 is a deficient number, since it is larger than the sum of its proper divisors (218468047).

289313073 is a wasteful number, since it uses less digits than its factorization.

289313073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 289313073 is about 17009.2055370026. The cubic root of 289313073 is about 661.3875560234.

The spelling of 289313073 in words is "two hundred eighty-nine million, three hundred thirteen thousand, seventy-three".