57249 has 6 divisors (see below), whose sum is σ = 82706. Its totient is φ = 38160.

The previous prime is 57241. The next prime is 57251. The reversal of 57249 is 94275.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 14400 = 207^2 + 120^2 .

It is not a de Polignac number, because 57249 - 2³ = 57241 is a prime.

It is a Duffinian number.

57249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (57241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3172 + ... + 3189.

2⁵⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

57249 is a deficient number, since it is larger than the sum of its proper divisors (25457).

57249 is a wasteful number, since it uses less digits than its factorization.

57249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6364 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 57249 is about 239.2676325791. The cubic root of 57249 is about 38.5409694866.

The spelling of 57249 in words is "fifty-seven thousand, two hundred forty-nine".