57354 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 17160.

The previous prime is 57349. The next prime is 57367. The reversal of 57354 is 45375.

It is an Ulam number.

It is an unprimeable number.

57354 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵⁷³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

57354 is an abundant number, since it is smaller than the sum of its proper divisors (70326).

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

57354 is a wasteful number, since it uses less digits than its factorization.

57354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 57354 is about 239.4869516278. The cubic root of 57354 is about 38.5645176723.

The spelling of 57354 in words is "fifty-seven thousand, three hundred fifty-four".