248361841 has 40 divisors (see below), whose sum is σ = 319201960. Its totient is φ = 192036096.

The previous prime is 248361833. The next prime is 248361853. The reversal of 248361841 is 148163842.

It can be written as a sum of positive squares in 4 ways, for example, as 26471025 + 221890816 = 5145^2 + 14896^2 .

It is not a de Polignac number, because 248361841 - 2³ = 248361833 is a prime.

It is the 15760-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 248361841.

It is not an unprimeable number, because it can be changed into a prime (248361821) by changing a digit.

It is a nontrivial repunit in base 15759.

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 39 ways as a sum of consecutive naturals, for example, 2278495 + ... + 2278603.

It is an arithmetic number, because the mean of its divisors is an integer number (7980049).

Almost surely, 2^248361841 is an apocalyptic number.

It is an amenable number.

248361841 is a deficient number, since it is larger than the sum of its proper divisors (70840119).

248361841 is an equidigital number, since it uses as much as digits as its factorization.

248361841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 248361841 is about 15759.5000237952. The cubic root of 248361841 is about 628.5815412162.

The spelling of 248361841 in words is "two hundred forty-eight million, three hundred sixty-one thousand, eight hundred forty-one".