57012 has 12 divisors (see below), whose sum is σ = 133056. Its totient is φ = 19000.

The previous prime is 56999. The next prime is 57037. The reversal of 57012 is 21075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 56982 and 57000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2364 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁵⁷⁰¹² is an apocalyptic number.

It is an amenable number.

57012 is an abundant number, since it is smaller than the sum of its proper divisors (76044).

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 (66528).

57012 is a wasteful number, since it uses less digits than its factorization.

57012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 57012 is about 238.7718576382. The cubic root of 57012 is about 38.4877118258.

Adding to 57012 its reverse (21075), we get a palindrome (78087).

Subtracting from 57012 its reverse (21075), we obtain a cube (35937 = 33³).

The spelling of 57012 in words is "fifty-seven thousand, twelve".