248769 has 12 divisors (see below), whose sum is σ = 363792. Its totient is φ = 163800.

The previous prime is 248753. The next prime is 248779. The reversal of 248769 is 967842.

248769 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248769 - 2⁴ = 248753 is a prime.

It is a super-2 number, since 2×248769² = 123772030722, which contains 22 as substring.

248769 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248769.

It is not an unprimeable number, because it can be changed into a prime (248719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1074 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (30316).

2²⁴⁸⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

248769 is a deficient number, since it is larger than the sum of its proper divisors (115023).

248769 is a wasteful number, since it uses less digits than its factorization.

248769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 248769 is about 498.7674808967. The cubic root of 248769 is about 62.8924847983.

It can be divided in two parts, 2487 and 69, that added together give a triangular number (2556 = T₇₁).

The spelling of 248769 in words is "two hundred forty-eight thousand, seven hundred sixty-nine".