57505 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 37440.

The previous prime is 57503. The next prime is 57527. The reversal of 57505 is 50575.

It is not a de Polignac number, because 57505 - 2¹ = 57503 is a prime.

It is an Ulam number.

It is a Duffinian number.

57505 is a lucky 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 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 1111.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁵⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

57505 is a deficient number, since it is larger than the sum of its proper divisors (25439).

57505 is a wasteful number, since it uses less digits than its factorization.

57505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 875, while the sum is 22.

The square root of 57505 is about 239.8020016597. The cubic root of 57505 is about 38.5983318742.

The spelling of 57505 in words is "fifty-seven thousand, five hundred five".