248838317 has 24 divisors (see below), whose sum is σ = 314581176. Its totient is φ = 195084288.

The previous prime is 248838313. The next prime is 248838323. The reversal of 248838317 is 713838842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49294441 + 199543876 = 7021^2 + 14126^2 .

It is not a de Polignac number, because 248838317 - 2² = 248838313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248838313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70253 + ... + 73709.

It is an arithmetic number, because the mean of its divisors is an integer number (13107549).

Almost surely, 2^248838317 is an apocalyptic number.

It is an amenable number.

248838317 is a deficient number, since it is larger than the sum of its proper divisors (65742859).

248838317 is a wasteful number, since it uses less digits than its factorization.

248838317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3590 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 248838317 is about 15774.6098842412. The cubic root of 248838317 is about 628.9832571035.

The spelling of 248838317 in words is "two hundred forty-eight million, eight hundred thirty-eight thousand, three hundred seventeen".