248753 has 2 divisors, whose sum is σ = 248754. Its totient is φ = 248752.

The previous prime is 248749. The next prime is 248779. The reversal of 248753 is 357842.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238144 + 10609 = 488^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 248753 - 2² = 248749 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 4² + 7⁶ + 8 + 5 + 3 .

It is a Curzon number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248723) 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, 124376 + 124377.

It is an arithmetic number, because the mean of its divisors is an integer number (124377).

2²⁴⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

248753 is a deficient number, since it is larger than the sum of its proper divisors (1).

248753 is an equidigital number, since it uses as much as digits as its factorization.

248753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 29.

The square root of 248753 is about 498.7514411007. The cubic root of 248753 is about 62.8911364238.

It can be divided in two parts, 248 and 753, that added together give a palindrome (1001).

The spelling of 248753 in words is "two hundred forty-eight thousand, seven hundred fifty-three".