30573 has 12 divisors (see below), whose sum is σ = 45760. Its totient is φ = 19656.

The previous prime is 30559. The next prime is 30577. The reversal of 30573 is 37503.

It is not a de Polignac number, because 30573 - 2⁴ = 30557 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30577) 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 11 ways as a sum of consecutive naturals, for example, 348 + ... + 426.

2³⁰⁵⁷³ is an apocalyptic number.

It is an amenable number.

30573 is a deficient number, since it is larger than the sum of its proper divisors (15187).

30573 is a wasteful number, since it uses less digits than its factorization.

30573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 30573 is about 174.8513654508. The cubic root of 30573 is about 31.2689058932.

It can be divided in two parts, 305 and 73, that added together give a triangular number (378 = T₂₇).

The spelling of 30573 in words is "thirty thousand, five hundred seventy-three".