57350 has 24 divisors (see below), whose sum is σ = 113088. Its totient is φ = 21600.

The previous prime is 57349. The next prime is 57367. The reversal of 57350 is 5375.

It is a congruent number.

It is an unprimeable 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, 1532 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁵⁷³⁵⁰ is an apocalyptic number.

57350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57350 is a deficient number, since it is larger than the sum of its proper divisors (55738).

57350 is a wasteful number, since it uses less digits than its factorization.

57350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 57350 is about 239.4786002966. The cubic root of 57350 is about 38.5636211254.

Adding to 57350 its product of nonzero digits (525), we get a palindrome (57875).

The spelling of 57350 in words is "fifty-seven thousand, three hundred fifty".