248766 has 16 divisors (see below), whose sum is σ = 568704. Its totient is φ = 71064.

The previous prime is 248753. The next prime is 248779. The reversal of 248766 is 667842.

248766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248753) and next prime (248779).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248766.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2920 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (35544).

248766 is a Friedman number, since it can be written as (8+4)^(7-2)-66, using all its digits and the basic arithmetic operations.

2²⁴⁸⁷⁶⁶ is an apocalyptic number.

248766 is an abundant number, since it is smaller than the sum of its proper divisors (319938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248766 is a wasteful number, since it uses less digits than its factorization.

248766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935.

The product of its digits is 16128, while the sum is 33.

The square root of 248766 is about 498.7644734742. The cubic root of 248766 is about 62.8922319825.

The spelling of 248766 in words is "two hundred forty-eight thousand, seven hundred sixty-six".