83171328 has 48 divisors (see below), whose sum is σ = 221752440. Its totient is φ = 27721728.

The previous prime is 83171323. The next prime is 83171339. The reversal of 83171328 is 82317138.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83171323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625 + ... + 12912.

Almost surely, 2^83171328 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 83171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110876220).

83171328 is an abundant number, since it is smaller than the sum of its proper divisors (138581112).

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

83171328 is a wasteful number, since it uses less digits than its factorization.

83171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13542 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 83171328 is about 9119.8315773922. The cubic root of 83171328 is about 436.5069993590.

The spelling of 83171328 in words is "eighty-three million, one hundred seventy-one thousand, three hundred twenty-eight".