247328 has 24 divisors (see below), whose sum is σ = 498960. Its totient is φ = 120640.

The previous prime is 247309. The next prime is 247337. The reversal of 247328 is 823742.

247328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247328² = 122342279168, which contains 22 as substring.

Its product of digits (2688) is a multiple of the sum of its prime divisors (192).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 247297 and 247306.

It is an unprimeable number.

247328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1823 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²⁴⁷³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480).

247328 is an abundant number, since it is smaller than the sum of its proper divisors (251632).

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

247328 is a wasteful number, since it uses less digits than its factorization.

247328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 247328 is about 497.3208220053. The cubic root of 247328 is about 62.7708141932.

It can be divided in two parts, 247 and 328, that added together give a palindrome (575).

The spelling of 247328 in words is "two hundred forty-seven thousand, three hundred twenty-eight".