248813 has 2 divisors, whose sum is σ = 248814. Its totient is φ = 248812.

The previous prime is 248797. The next prime is 248821. The reversal of 248813 is 318842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157609 + 91204 = 397^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 248813 - 2⁴ = 248797 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248813.

It is not a weakly prime, because it can be changed into another prime (248893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124406 + 124407.

It is an arithmetic number, because the mean of its divisors is an integer number (124407).

2²⁴⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

248813 is a deficient number, since it is larger than the sum of its proper divisors (1).

248813 is an equidigital number, since it uses as much as digits as its factorization.

248813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 26.

The square root of 248813 is about 498.8115876761. The cubic root of 248813 is about 62.8961925301.

The spelling of 248813 in words is "two hundred forty-eight thousand, eight hundred thirteen".