288948961 has 8 divisors (see below), whose sum is σ = 330505920. Its totient is φ = 247461648.

The previous prime is 288948917. The next prime is 288948967. The reversal of 288948961 is 169849882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 288948961 - 2⁷ = 288948833 is a prime.

It is a super-4 number, since 4×288948961⁴ (a number of 35 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288948967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191 + ... + 25396.

It is an arithmetic number, because the mean of its divisors is an integer number (41313240).

Almost surely, 2^288948961 is an apocalyptic number.

It is an amenable number.

288948961 is a deficient number, since it is larger than the sum of its proper divisors (41556959).

288948961 is a wasteful number, since it uses less digits than its factorization.

288948961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34823.

The product of its digits is 1990656, while the sum is 55.

The square root of 288948961 is about 16998.4987866576. The cubic root of 288948961 is about 661.1099787022.

The spelling of 288948961 in words is "two hundred eighty-eight million, nine hundred forty-eight thousand, nine hundred sixty-one".