57065 has 8 divisors (see below), whose sum is σ = 69768. Its totient is φ = 44800.

The previous prime is 57059. The next prime is 57073. The reversal of 57065 is 56075.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 52441 = 68^2 + 229^2 .

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

It is not a de Polignac number, because 57065 - 2⁸ = 56809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (8721).

2⁵⁷⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

57065 is a deficient number, since it is larger than the sum of its proper divisors (12703).

57065 is a wasteful number, since it uses less digits than its factorization.

57065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 57065 is about 238.8828164603. The cubic root of 57065 is about 38.4996345611.

Subtracting from 57065 its reverse (56075), we obtain a triangular number (990 = T₄₄).

The spelling of 57065 in words is "fifty-seven thousand, sixty-five".