57353 has 4 divisors (see below), whose sum is σ = 58128. Its totient is φ = 56580.

The previous prime is 57349. The next prime is 57367. The reversal of 57353 is 35375.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 57353 - 2² = 57349 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57373) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 263 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (14532).

2⁵⁷³⁵³ is an apocalyptic number.

It is an amenable number.

57353 is a deficient number, since it is larger than the sum of its proper divisors (775).

57353 is an equidigital number, since it uses as much as digits as its factorization.

57353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774.

The product of its digits is 1575, while the sum is 23.

The square root of 57353 is about 239.4848638223. The cubic root of 57353 is about 38.5642935395.

It can be divided in two parts, 5735 and 3, that multiplied together give a triangular number (17205 = T₁₈₅).

The spelling of 57353 in words is "fifty-seven thousand, three hundred fifty-three".