57527 has 2 divisors, whose sum is σ = 57528. Its totient is φ = 57526.

The previous prime is 57503. The next prime is 57529. The reversal of 57527 is 72575.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57527 - 2⁸ = 57271 is a prime.

Together with 57529, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 57496 and 57505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28763 + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (28764).

2⁵⁷⁵²⁷ is an apocalyptic number.

57527 is a deficient number, since it is larger than the sum of its proper divisors (1).

57527 is an equidigital number, since it uses as much as digits as its factorization.

57527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2450, while the sum is 26.

The square root of 57527 is about 239.8478684500. The cubic root of 57527 is about 38.6032535044.

The spelling of 57527 in words is "fifty-seven thousand, five hundred twenty-seven".