83848 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 40848.

The previous prime is 83843. The next prime is 83857. The reversal of 83848 is 84838.

83848 = 17² + 18² + ... + 63².

It is a plaindrome in base 16.

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 83848.

It is not an unprimeable number, because it can be changed into a prime (83843) by changing a digit.

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, 265 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁸³⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

83848 is a deficient number, since it is larger than the sum of its proper divisors (77432).

83848 is a wasteful number, since it uses less digits than its factorization.

83848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 83848 is about 289.5651912782. The cubic root of 83848 is about 43.7687593021.

Subtracting 83848 from its reverse (84838), we obtain a triangular number (990 = T₄₄).

The spelling of 83848 in words is "eighty-three thousand, eight hundred forty-eight".