249253 has 2 divisors, whose sum is σ = 249254. Its totient is φ = 249252.

The previous prime is 249233. The next prime is 249257. The reversal of 249253 is 352942.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 74529 = 418^2 + 273^2 .

It is a cyclic number.

It is not a de Polignac number, because 249253 - 2¹³ = 241061 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 4 + 2¹⁵ + 9⁴ + 5 + 3¹¹ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249257) 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, 124626 + 124627.

It is an arithmetic number, because the mean of its divisors is an integer number (124627).

2²⁴⁹²⁵³ is an apocalyptic number.

It is an amenable number.

249253 is a deficient number, since it is larger than the sum of its proper divisors (1).

249253 is an equidigital number, since it uses as much as digits as its factorization.

249253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 249253 is about 499.2524411558. The cubic root of 249253 is about 62.9332458294.

The spelling of 249253 in words is "two hundred forty-nine thousand, two hundred fifty-three".