57345 has 8 divisors (see below), whose sum is σ = 91776. Its totient is φ = 30576.

The previous prime is 57331. The next prime is 57347. The reversal of 57345 is 54375.

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

It is not a de Polignac number, because 57345 - 2⁴ = 57329 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

57345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (57347) 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, 1897 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (11472).

It is a Proth number, since it is equal to 7 ⋅ 2¹³ + 1 and 7 < 2¹³.

2⁵⁷³⁴⁵ is an apocalyptic number.

It is an amenable number.

57345 is a deficient number, since it is larger than the sum of its proper divisors (34431).

57345 is a wasteful number, since it uses less digits than its factorization.

57345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831.

The product of its digits is 2100, while the sum is 24.

The square root of 57345 is about 239.4681607229. The cubic root of 57345 is about 38.5625003831.

The spelling of 57345 in words is "fifty-seven thousand, three hundred forty-five".