83203848 has 320 divisors, whose sum is σ = 307359360. Its totient is φ = 20404224.

The previous prime is 83203843. The next prime is 83203853. The reversal of 83203848 is 84830238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83203843) and next prime (83203853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83203843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1002415 + ... + 1002497.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 2^83203848 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 83203848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

83203848 is an abundant number, since it is smaller than the sum of its proper divisors (224155512).

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

83203848 is a wasteful number, since it uses less digits than its factorization.

83203848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83203848 is about 9121.6143308079. The cubic root of 83203848 is about 436.5638833768.

The spelling of 83203848 in words is "eighty-three million, two hundred three thousand, eight hundred forty-eight".