7005321 has 24 divisors (see below), whose sum is σ = 10541960. Its totient is φ = 4478976.

The previous prime is 7005293. The next prime is 7005331. The reversal of 7005321 is 1235007.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 4862025 = 1464^2 + 2205^2 .

It is not a de Polignac number, because 7005321 - 2¹⁰ = 7004297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7005294 and 7005303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7005331) 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 23 ways as a sum of consecutive naturals, for example, 36201 + ... + 36393.

Almost surely, 2^7005321 is an apocalyptic number.

It is an amenable number.

7005321 is a deficient number, since it is larger than the sum of its proper divisors (3536639).

7005321 is a wasteful number, since it uses less digits than its factorization.

7005321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 7005321 is about 2646.7566945226. The cubic root of 7005321 is about 191.3415760335.

The spelling of 7005321 in words is "seven million, five thousand, three hundred twenty-one".