83717248 has 64 divisors (see below), whose sum is σ = 179193600. Its totient is φ = 38817792.

The previous prime is 83717243. The next prime is 83717251. The reversal of 83717248 is 84271738.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×83717248² = 14017155225387008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83717248.

It is not an unprimeable number, because it can be changed into a prime (83717243) 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 7 ways as a sum of consecutive naturals, for example, 171661 + ... + 172147.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2^83717248 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 83717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89596800).

83717248 is an abundant number, since it is smaller than the sum of its proper divisors (95476352).

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

83717248 is a wasteful number, since it uses less digits than its factorization.

83717248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 83717248 is about 9149.7130009635. The cubic root of 83717248 is about 437.4599656428.

The spelling of 83717248 in words is "eighty-three million, seven hundred seventeen thousand, two hundred forty-eight".