289600041 has 16 divisors (see below), whose sum is σ = 396115200. Its totient is φ = 188112768.

The previous prime is 289600021. The next prime is 289600079. The reversal of 289600041 is 140006982.

It is not a de Polignac number, because 289600041 - 2⁵ = 289600009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289599981 and 289600008.

It is not an unprimeable number, because it can be changed into a prime (289600021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27805 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (24757200).

Almost surely, 2^289600041 is an apocalyptic number.

It is an amenable number.

289600041 is a deficient number, since it is larger than the sum of its proper divisors (106515159).

289600041 is a wasteful number, since it uses less digits than its factorization.

289600041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 289600041 is about 17017.6391135786. The cubic root of 289600041 is about 661.6061592869.

It can be divided in two parts, 28 and 9600041, that added together give a palindrome (9600069).

The spelling of 289600041 in words is "two hundred eighty-nine million, six hundred thousand, forty-one".