57066 has 8 divisors (see below), whose sum is σ = 114144. Its totient is φ = 19020.

The previous prime is 57059. The next prime is 57073. The reversal of 57066 is 66075.

It is an interprime number because it is at equal distance from previous prime (57059) and next prime (57073).

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

57066 is an admirable number.

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 3 ways as a sum of consecutive naturals, for example, 4750 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (14268).

2⁵⁷⁰⁶⁶ is an apocalyptic number.

57066 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57072).

57066 is a wasteful number, since it uses less digits than its factorization.

57066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57066 is about 238.8849095276. The cubic root of 57066 is about 38.4998594474.

Subtracting 57066 from its reverse (66075), we obtain a palindrome (9009).

It can be divided in two parts, 570 and 66, that added together give a palindrome (636).

The spelling of 57066 in words is "fifty-seven thousand, sixty-six".