57533 has 4 divisors (see below), whose sum is σ = 65760. Its totient is φ = 49308.

The previous prime is 57529. The next prime is 57557. The reversal of 57533 is 33575.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 57533 - 2² = 57529 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57499 and 57508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4103 + ... + 4116.

It is an arithmetic number, because the mean of its divisors is an integer number (16440).

2⁵⁷⁵³³ is an apocalyptic number.

It is an amenable number.

57533 is a deficient number, since it is larger than the sum of its proper divisors (8227).

57533 is an equidigital number, since it uses as much as digits as its factorization.

57533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226.

The product of its digits is 1575, while the sum is 23.

The square root of 57533 is about 239.8603760524. The cubic root of 57533 is about 38.6045955494.

It can be divided in two parts, 57 and 533, that multiplied together give a triangular number (30381 = T₂₄₆).

The spelling of 57533 in words is "fifty-seven thousand, five hundred thirty-three".