243948 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 78400.

The previous prime is 243931. The next prime is 243953. The reversal of 243948 is 849342.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁹ + 4² + 9³ + 3¹¹ + 4⁸ + 8 .

It is a nialpdrome in base 12.

It is an unprimeable number.

243948 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁴³⁹⁴⁸ 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 243948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

243948 is an abundant number, since it is smaller than the sum of its proper divisors (345732).

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

243948 is a wasteful number, since it uses less digits than its factorization.

243948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 243948 is about 493.9109231430. The cubic root of 243948 is about 62.4835583418.

The spelling of 243948 in words is "two hundred forty-three thousand, nine hundred forty-eight".