247104 has 112 divisors (see below), whose sum is σ = 853440. Its totient is φ = 69120.

The previous prime is 247099. The next prime is 247141. The reversal of 247104 is 401742.

It is a happy number.

247104 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 2×247104² = 122120773632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 247104.

It is an unprimeable number.

247104 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 15 ways as a sum of consecutive naturals, for example, 19002 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2²⁴⁷¹⁰⁴ is an apocalyptic number.

247104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426720).

247104 is an abundant number, since it is smaller than the sum of its proper divisors (606336).

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

247104 is a wasteful number, since it uses less digits than its factorization.

247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 247104 is about 497.0955642530. The cubic root of 247104 is about 62.7518583811.

Adding to 247104 its reverse (401742), we get a palindrome (648846).

It can be divided in two parts, 247 and 104, that added together give a triangular number (351 = T₂₆).

The spelling of 247104 in words is "two hundred forty-seven thousand, one hundred four", and thus it is an iban number.