9288961 has 16 divisors (see below), whose sum is σ = 10779840. Its totient is φ = 7922880.

The previous prime is 9288949. The next prime is 9288971. The reversal of 9288961 is 1698829.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9288961 - 2⁹ = 9288449 is a prime.

It is a Duffinian number.

Its product of digits (62208) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (9288971) 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 15 ways as a sum of consecutive naturals, for example, 11410 + ... + 12196.

It is an arithmetic number, because the mean of its divisors is an integer number (673740).

Almost surely, 2^9288961 is an apocalyptic number.

It is an amenable number.

9288961 is a deficient number, since it is larger than the sum of its proper divisors (1490879).

9288961 is a wasteful number, since it uses less digits than its factorization.

9288961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its digits is 62208, while the sum is 43.

The square root of 9288961 is about 3047.7796836386. The cubic root of 9288961 is about 210.2111330836.

It can be divided in two parts, 928 and 8961, that added together give a palindrome (9889).

The spelling of 9288961 in words is "nine million, two hundred eighty-eight thousand, nine hundred sixty-one".