248401 has 2 divisors, whose sum is σ = 248402. Its totient is φ = 248400.

The previous prime is 248389. The next prime is 248407. The reversal of 248401 is 104842.

248401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172225 + 76176 = 415^2 + 276^2 .

It is a cyclic number.

It is not a de Polignac number, because 248401 - 2⁹ = 247889 is a prime.

248401 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (248407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124200 + 124201.

It is an arithmetic number, because the mean of its divisors is an integer number (124201).

2²⁴⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

248401 is a deficient number, since it is larger than the sum of its proper divisors (1).

248401 is an equidigital number, since it uses as much as digits as its factorization.

248401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 248401 is about 498.3984349895. The cubic root of 248401 is about 62.8614575452.

The spelling of 248401 in words is "two hundred forty-eight thousand, four hundred one".