248123761 has 2 divisors, whose sum is σ = 248123762. Its totient is φ = 248123760.

The previous prime is 248123749. The next prime is 248123819. The reversal of 248123761 is 167321842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179962225 + 68161536 = 13415^2 + 8256^2 .

It is a cyclic number.

It is not a de Polignac number, because 248123761 - 2⁷ = 248123633 is a prime.

It is not a weakly prime, because it can be changed into another prime (248123731) 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, 124061880 + 124061881.

It is an arithmetic number, because the mean of its divisors is an integer number (124061881).

Almost surely, 2^248123761 is an apocalyptic number.

It is an amenable number.

248123761 is a deficient number, since it is larger than the sum of its proper divisors (1).

248123761 is an equidigital number, since it uses as much as digits as its factorization.

248123761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The square root of 248123761 is about 15751.9446735951. The cubic root of 248123761 is about 628.3806239613.

The spelling of 248123761 in words is "two hundred forty-eight million, one hundred twenty-three thousand, seven hundred sixty-one".