249257 has 2 divisors, whose sum is σ = 249258. Its totient is φ = 249256.

The previous prime is 249253. The next prime is 249287. The reversal of 249257 is 752942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 256 = 499^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 249257 - 2² = 249253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (249253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124628 + 124629.

It is an arithmetic number, because the mean of its divisors is an integer number (124629).

2²⁴⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

249257 is a deficient number, since it is larger than the sum of its proper divisors (1).

249257 is an equidigital number, since it uses as much as digits as its factorization.

249257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 249257 is about 499.2564471291. The cubic root of 249257 is about 62.9335824775.

The spelling of 249257 in words is "two hundred forty-nine thousand, two hundred fifty-seven".