9408321 has 24 divisors (see below), whose sum is σ = 14803880. Its totient is φ = 5723136.

The previous prime is 9408277. The next prime is 9408331. The reversal of 9408321 is 1238049.

9408321 = 589² + 590² + ... + 614².

9408321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 408321 + 9000000 = 639^2 + 3000^2 .

It is not a de Polignac number, because 9408321 - 2⁶ = 9408257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9408331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10935 + ... + 11763.

Almost surely, 2^9408321 is an apocalyptic number.

It is an amenable number.

9408321 is a deficient number, since it is larger than the sum of its proper divisors (5395559).

9408321 is a wasteful number, since it uses less digits than its factorization.

9408321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9408321 is about 3067.2986486484. The cubic root of 9408321 is about 211.1076844524.

It can be divided in two parts, 940 and 8321, that added together give a cube (9261 = 21³).

The spelling of 9408321 in words is "nine million, four hundred eight thousand, three hundred twenty-one".