289193841 has 32 divisors (see below), whose sum is σ = 436665600. Its totient is φ = 189129600.

The previous prime is 289193831. The next prime is 289193899. The reversal of 289193841 is 148391982.

It is not a de Polignac number, because 289193841 - 2¹⁷ = 289062769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289193831) 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 31 ways as a sum of consecutive naturals, for example, 362455 + ... + 363251.

It is an arithmetic number, because the mean of its divisors is an integer number (13645800).

Almost surely, 2^289193841 is an apocalyptic number.

It is an amenable number.

289193841 is a deficient number, since it is larger than the sum of its proper divisors (147471759).

289193841 is a wasteful number, since it uses less digits than its factorization.

289193841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 289193841 is about 17005.7002502102. The cubic root of 289193841 is about 661.2966863001.

The spelling of 289193841 in words is "two hundred eighty-nine million, one hundred ninety-three thousand, eight hundred forty-one".