57305 has 8 divisors (see below), whose sum is σ = 70152. Its totient is φ = 44928.

The previous prime is 57301. The next prime is 57329. The reversal of 57305 is 50375.

It can be written as a sum of positive squares in 4 ways, for example, as 3481 + 53824 = 59^2 + 232^2 .

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 57305 - 2² = 57301 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (8769).

2⁵⁷³⁰⁵ is an apocalyptic number.

It is an amenable number.

57305 is a deficient number, since it is larger than the sum of its proper divisors (12847).

57305 is a wasteful number, since it uses less digits than its factorization.

57305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 57305 is about 239.3846277437. The cubic root of 57305 is about 38.5535320987.

The spelling of 57305 in words is "fifty-seven thousand, three hundred five".