57349 has 2 divisors, whose sum is σ = 57350. Its totient is φ = 57348.

The previous prime is 57347. The next prime is 57367. The reversal of 57349 is 94375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 6724 = 225^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 57349 - 2¹ = 57347 is a prime.

Together with 57347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57347) 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 as a sum of consecutive naturals, namely, 28674 + 28675.

It is an arithmetic number, because the mean of its divisors is an integer number (28675).

2⁵⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

57349 is a deficient number, since it is larger than the sum of its proper divisors (1).

57349 is an equidigital number, since it uses as much as digits as its factorization.

57349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 57349 is about 239.4765124182. The cubic root of 57349 is about 38.5633969821.

It can be divided in two parts, 57 and 349, that added together give a triangular number (406 = T₂₈).

The spelling of 57349 in words is "fifty-seven thousand, three hundred forty-nine".