247824 has 30 divisors (see below), whose sum is σ = 693966. Its totient is φ = 82560.

The previous prime is 247813. The next prime is 247829. The reversal of 247824 is 428742.

247824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 17424 = 480^2 + 132^2 .

It is a super-2 number, since 2×247824² = 122833469952, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (247829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717 + ... + 1004.

2²⁴⁷⁸²⁴ is an apocalyptic number.

247824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

247824 is an abundant number, since it is smaller than the sum of its proper divisors (446142).

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

247824 is a wasteful number, since it uses less digits than its factorization.

247824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 247824 is about 497.8192443046. The cubic root of 247824 is about 62.8127470845.

The spelling of 247824 in words is "two hundred forty-seven thousand, eight hundred twenty-four".