57045 has 8 divisors (see below), whose sum is σ = 91296. Its totient is φ = 30416.

The previous prime is 57041. The next prime is 57047. The reversal of 57045 is 54075.

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 57045 - 2² = 57041 is a prime.

57045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57041) by changing a digit.

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, 1887 + ... + 1916.

It is an arithmetic number, because the mean of its divisors is an integer number (11412).

2⁵⁷⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

57045 is a deficient number, since it is larger than the sum of its proper divisors (34251).

57045 is a wasteful number, since it uses less digits than its factorization.

57045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57045 is about 238.8409512626. The cubic root of 57045 is about 38.4951362833.

The spelling of 57045 in words is "fifty-seven thousand, forty-five".