57565 has 8 divisors (see below), whose sum is σ = 71640. Its totient is φ = 44352.

The previous prime is 57559. The next prime is 57571. The reversal of 57565 is 56575.

It is an interprime number because it is at equal distance from previous prime (57559) and next prime (57571).

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 47961 = 98^2 + 219^2 .

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 57565 - 2³ = 57557 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (8955).

2⁵⁷⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

57565 is a deficient number, since it is larger than the sum of its proper divisors (14075).

57565 is a wasteful number, since it uses less digits than its factorization.

57565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 5250, while the sum is 28.

The square root of 57565 is about 239.9270722532. The cubic root of 57565 is about 38.6117515474.

Subtracting from 57565 its reverse (56575), we obtain a triangular number (990 = T₄₄).

The spelling of 57565 in words is "fifty-seven thousand, five hundred sixty-five".