248867 has 2 divisors, whose sum is σ = 248868. Its totient is φ = 248866.

The previous prime is 248861. The next prime is 248869. The reversal of 248867 is 768842.

248867 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 is a cyclic number.

It is not a de Polignac number, because 248867 - 2⁴ = 248851 is a prime.

Together with 248869, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (248861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124433 + 124434.

It is an arithmetic number, because the mean of its divisors is an integer number (124434).

2²⁴⁸⁸⁶⁷ is an apocalyptic number.

248867 is a deficient number, since it is larger than the sum of its proper divisors (1).

248867 is an equidigital number, since it uses as much as digits as its factorization.

248867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 35.

The square root of 248867 is about 498.8657133939. The cubic root of 248867 is about 62.9007423309.

Subtracting from 248867 its sum of digits (35), we obtain a 5-th power (248832 = 12⁵).

The spelling of 248867 in words is "two hundred forty-eight thousand, eight hundred sixty-seven".