8305973 has 8 divisors (see below), whose sum is σ = 8969016. Its totient is φ = 7646400.

The previous prime is 8305951. The next prime is 8305987. The reversal of 8305973 is 3795038.

It can be written as a sum of positive squares in 4 ways, for example, as 1214404 + 7091569 = 1102^2 + 2663^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8305973 - 2¹⁰ = 8304949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8305993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6443 + ... + 7623.

It is an arithmetic number, because the mean of its divisors is an integer number (1121127).

Almost surely, 2^8305973 is an apocalyptic number.

It is an amenable number.

8305973 is a deficient number, since it is larger than the sum of its proper divisors (663043).

8305973 is a wasteful number, since it uses less digits than its factorization.

8305973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 8305973 is about 2882.0085010284. The cubic root of 8305973 is about 202.5179418132.

The spelling of 8305973 in words is "eight million, three hundred five thousand, nine hundred seventy-three".