83785248 has 144 divisors (see below), whose sum is σ = 256215960. Its totient is φ = 25878528.

The previous prime is 83785201. The next prime is 83785249. The reversal of 83785248 is 84258738.

It can be written as a sum of positive squares in 4 ways, for example, as 78641424 + 5143824 = 8868^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (83785249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533586 + ... + 533742.

Almost surely, 2^83785248 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 83785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128107980).

83785248 is an abundant number, since it is smaller than the sum of its proper divisors (172430712).

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

83785248 is a wasteful number, since it uses less digits than its factorization.

83785248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 83785248 is about 9153.4282102390. The cubic root of 83785248 is about 437.5783770329.

The spelling of 83785248 in words is "eighty-three million, seven hundred eighty-five thousand, two hundred forty-eight".