10573 has 4 divisors (see below), whose sum is σ = 10780. Its totient is φ = 10368.

The previous prime is 10567. The next prime is 10589. The reversal of 10573 is 37501.

10573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 4489 = 78^2 + 67^2 .

It is a 4-Lehmer number, since φ(10573) divides (10573-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 10573 - 2⁹ = 10061 is a prime.

It is a super-2 number, since 2×10573² = 223576658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (2695).

2¹⁰⁵⁷³ is an apocalyptic number.

It is an amenable number.

10573 is a deficient number, since it is larger than the sum of its proper divisors (207).

10573 is an equidigital number, since it uses as much as digits as its factorization.

10573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10573 is about 102.8250942134. The cubic root of 10573 is about 21.9482253569.

The spelling of 10573 in words is "ten thousand, five hundred seventy-three".