83319552 has 162 divisors, whose sum is σ = 254586332. Its totient is φ = 26191872.

The previous prime is 83319529. The next prime is 83319557. The reversal of 83319552 is 25591338.

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 (83319557) 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 17 ways as a sum of consecutive naturals, for example, 1937643 + ... + 1937685.

Almost surely, 2^83319552 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 83319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127293166).

83319552 is an abundant number, since it is smaller than the sum of its proper divisors (171266780).

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

83319552 is a wasteful number, since it uses less digits than its factorization.

83319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 83319552 is about 9127.9544258284. The cubic root of 83319552 is about 436.7661528336.

The spelling of 83319552 in words is "eighty-three million, three hundred nineteen thousand, five hundred fifty-two".