9712573 has 8 divisors (see below), whose sum is σ = 10486616. Its totient is φ = 8942400.

The previous prime is 9712567. The next prime is 9712583. The reversal of 9712573 is 3752179.

It can be written as a sum of positive squares in 4 ways, for example, as 145924 + 9566649 = 382^2 + 3093^2 .

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 9712573 - 2¹³ = 9704381 is a prime.

It is the 3117-th Hogben number.

It is a Duffinian number.

9712573 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9712543) by changing a digit.

It is a nontrivial repunit in base 3116.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6343 + ... + 7723.

It is an arithmetic number, because the mean of its divisors is an integer number (1310827).

Almost surely, 2^9712573 is an apocalyptic number.

It is an amenable number.

9712573 is a deficient number, since it is larger than the sum of its proper divisors (774043).

9712573 is a wasteful number, since it uses less digits than its factorization.

9712573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935.

The product of its digits is 13230, while the sum is 34.

The square root of 9712573 is about 3116.5001203273. The cubic root of 9712573 is about 213.3592283562.

The spelling of 9712573 in words is "nine million, seven hundred twelve thousand, five hundred seventy-three".