289330137 has 48 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 187012800.

The previous prime is 289330117. The next prime is 289330201. The reversal of 289330137 is 731033982.

It is a happy number.

It is not a de Polignac number, because 289330137 - 2⁷ = 289330009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289330117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941739 + ... + 1941887.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2^289330137 is an apocalyptic number.

289330137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

289330137 is a deficient number, since it is larger than the sum of its proper divisors (157516263).

289330137 is a wasteful number, since it uses less digits than its factorization.

289330137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

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

The square root of 289330137 is about 17009.7071403361. The cubic root of 289330137 is about 661.4005588871.

The spelling of 289330137 in words is "two hundred eighty-nine million, three hundred thirty thousand, one hundred thirty-seven".