57126 has 8 divisors (see below), whose sum is σ = 114264. Its totient is φ = 19040.

The previous prime is 57119. The next prime is 57131. The reversal of 57126 is 62175.

57126 = 118² + 119² + ... + 121².

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

57126 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57126.

It is an unprimeable number.

57126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4755 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (14283).

2⁵⁷¹²⁶ is an apocalyptic number.

57126 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 (57132).

57126 is a wasteful number, since it uses less digits than its factorization.

57126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526.

The product of its digits is 420, while the sum is 21.

The square root of 57126 is about 239.0104600222. The cubic root of 57126 is about 38.5133478202.

The spelling of 57126 in words is "fifty-seven thousand, one hundred twenty-six".