57523 has 8 divisors (see below), whose sum is σ = 62496. Its totient is φ = 52800.

The previous prime is 57503. The next prime is 57527. The reversal of 57523 is 32575.

57523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 57523 - 2¹³ = 49331 is a prime.

It is a Duffinian number.

57523 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 57494 and 57503.

It is not an unprimeable number, because it can be changed into a prime (57527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁵⁷⁵²³ is an apocalyptic number.

57523 is a deficient number, since it is larger than the sum of its proper divisors (4973).

57523 is a wasteful number, since it uses less digits than its factorization.

57523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its digits is 1050, while the sum is 22.

The square root of 57523 is about 239.8395296860. The cubic root of 57523 is about 38.6023587559.

It can be divided in two parts, 575 and 23, that multiplied together give a square (13225 = 115²).

The spelling of 57523 in words is "fifty-seven thousand, five hundred twenty-three".