973305 has 24 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 506016.

The previous prime is 973289. The next prime is 973321. The reversal of 973305 is 503379.

It is an interprime number because it is at equal distance from previous prime (973289) and next prime (973321).

It is not a de Polignac number, because 973305 - 2⁴ = 973289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2⁹⁷³³⁰⁵ is an apocalyptic number.

It is an amenable number.

973305 is a deficient number, since it is larger than the sum of its proper divisors (756423).

973305 is a wasteful number, since it uses less digits than its factorization.

973305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 973305 is about 986.5622129395. The cubic root of 973305 is about 99.1021290726.

The spelling of 973305 in words is "nine hundred seventy-three thousand, three hundred five".