248824 has 16 divisors (see below), whose sum is σ = 491400. Its totient is φ = 117792.

The previous prime is 248821. The next prime is 248827. The reversal of 248824 is 428842.

248824 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (248821) and next prime (248827).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 248792 and 248801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667 + ... + 970.

248824 is a Friedman number, since it can be written as (8+4)^(4+2/2)-8, using all its digits and the basic arithmetic operations.

2²⁴⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

248824 is a deficient number, since it is larger than the sum of its proper divisors (242576).

248824 is a wasteful number, since it uses less digits than its factorization.

248824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 248824 is about 498.8226137616. The cubic root of 248824 is about 62.8971193948.

The spelling of 248824 in words is "two hundred forty-eight thousand, eight hundred twenty-four".