57870 has 24 divisors (see below), whose sum is σ = 150696. Its totient is φ = 15408.

The previous prime is 57859. The next prime is 57881. The reversal of 57870 is 7875.

It is an interprime number because it is at equal distance from previous prime (57859) and next prime (57881).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (6279).

2⁵⁷⁸⁷⁰ is an apocalyptic number.

57870 is an abundant number, since it is smaller than the sum of its proper divisors (92826).

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 (75348).

57870 is a wasteful number, since it uses less digits than its factorization.

57870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57870 is about 240.5618423608. The cubic root of 57870 is about 38.6798244295.

It can be divided in two parts, 5 and 7870, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 57870 in words is "fifty-seven thousand, eight hundred seventy".