248788 has 18 divisors (see below), whose sum is σ = 458318. Its totient is φ = 118080.

The previous prime is 248783. The next prime is 248789. The reversal of 248788 is 887842.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 248004 = 28^2 + 498^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6048 + ... + 6088.

2²⁴⁸⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

248788 is a deficient number, since it is larger than the sum of its proper divisors (209530).

248788 is a wasteful number, since it uses less digits than its factorization.

248788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 248788 is about 498.7865274845. The cubic root of 248788 is about 62.8940859180.

Multiplying 248788 by its sum of digits (37), we get a square (9205156 = 3034²).

248788 divided by its sum of digits (37) gives a square (6724 = 82²).

Subtracting from 248788 its product of digits (28672), we obtain a triangular number (220116 = T₆₆₃).

The spelling of 248788 in words is "two hundred forty-eight thousand, seven hundred eighty-eight".