57948 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 17520.

The previous prime is 57947. The next prime is 57973. The reversal of 57948 is 84975.

57948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁵⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

57948 is an abundant number, since it is smaller than the sum of its proper divisors (89892).

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 (73920).

57948 is a wasteful number, since it uses less digits than its factorization.

57948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 57948 is about 240.7239082434. The cubic root of 57948 is about 38.6971948103.

The spelling of 57948 in words is "fifty-seven thousand, nine hundred forty-eight".