57834 has 48 divisors (see below), whose sum is σ = 157248. Its totient is φ = 15552.

The previous prime is 57829. The next prime is 57839. The reversal of 57834 is 43875.

It is an interprime number because it is at equal distance from previous prime (57829) and next prime (57839).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 57798 and 57807.

It is not an unprimeable number, because it can be changed into a prime (57839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁵⁷⁸³⁴ is an apocalyptic number.

57834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

57834 is an abundant number, since it is smaller than the sum of its proper divisors (99414).

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

57834 is a wasteful number, since it uses less digits than its factorization.

57834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 57834 is about 240.4870058860. The cubic root of 57834 is about 38.6718020660.

It can be divided in two parts, 5783 and 4, that multiplied together give a palindrome (23132).

The spelling of 57834 in words is "fifty-seven thousand, eight hundred thirty-four".