248641 has 2 divisors, whose sum is σ = 248642. Its totient is φ = 248640.

The previous prime is 248639. The next prime is 248657. The reversal of 248641 is 146842.

248641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 41616 = 455^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 248641 - 2¹ = 248639 is a prime.

Together with 248639, it forms a pair of twin primes.

It is an Ulam number.

248641 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (248621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124320 + 124321.

It is an arithmetic number, because the mean of its divisors is an integer number (124321).

2²⁴⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

248641 is a deficient number, since it is larger than the sum of its proper divisors (1).

248641 is an equidigital number, since it uses as much as digits as its factorization.

248641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 25.

The square root of 248641 is about 498.6391480821. The cubic root of 248641 is about 62.8816961830.

It can be divided in two parts, 2486 and 41, that multiplied together give a triangular number (101926 = T₄₅₁).

The spelling of 248641 in words is "two hundred forty-eight thousand, six hundred forty-one".