57006 has 12 divisors (see below), whose sum is σ = 123552. Its totient is φ = 18996.

The previous prime is 56999. The next prime is 57037. The reversal of 57006 is 60075.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3167 = 57006 / (5 + 7 + 0 + 0 + 6).

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 57006.

It is a congruent number.

It is an unprimeable number.

57006 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1566 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2⁵⁷⁰⁰⁶ is an apocalyptic number.

57006 is an abundant number, since it is smaller than the sum of its proper divisors (66546).

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

57006 is a wasteful number, since it uses less digits than its factorization.

57006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57006 is about 238.7592930129. The cubic root of 57006 is about 38.4863616167.

The spelling of 57006 in words is "fifty-seven thousand, six".