57535 has 8 divisors (see below), whose sum is σ = 71136. Its totient is φ = 44640.

The previous prime is 57529. The next prime is 57557. The reversal of 57535 is 53575.

It is a happy number.

57535 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57535 - 2³ = 57527 is a prime.

It is a Duffinian number.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2⁵⁷⁵³⁵ is an apocalyptic number.

57535 is a deficient number, since it is larger than the sum of its proper divisors (13601).

57535 is a wasteful number, since it uses less digits than its factorization.

57535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 2625, while the sum is 25.

The square root of 57535 is about 239.8645451083. The cubic root of 57535 is about 38.6050428770.

It can be divided in two parts, 5 and 7535, that multiplied together give a triangular number (37675 = T₂₇₄).

The spelling of 57535 in words is "fifty-seven thousand, five hundred thirty-five".