83249784 has 96 divisors (see below), whose sum is σ = 234112320. Its totient is φ = 26707968.

The previous prime is 83249779. The next prime is 83249801. The reversal of 83249784 is 48794238.

83249784 is a `hidden beast` number, since 83 + 2 + 497 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246864 + ... + 247200.

It is an arithmetic number, because the mean of its divisors is an integer number (2438670).

Almost surely, 2^83249784 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 83249784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117056160).

83249784 is an abundant number, since it is smaller than the sum of its proper divisors (150862536).

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

83249784 is a wasteful number, since it uses less digits than its factorization.

83249784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83249784 is about 9124.1319587126. The cubic root of 83249784 is about 436.6442094259.

The spelling of 83249784 in words is "eighty-three million, two hundred forty-nine thousand, seven hundred eighty-four".