83117352 has 64 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 25868288.

The previous prime is 83117351. The next prime is 83117399. The reversal of 83117352 is 25371138.

It is not an unprimeable number, because it can be changed into a prime (83117351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55153 + ... + 56639.

It is an arithmetic number, because the mean of its divisors is an integer number (3465180).

Almost surely, 2^83117352 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 83117352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

83117352 is an abundant number, since it is smaller than the sum of its proper divisors (138654168).

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

83117352 is a wasteful number, since it uses less digits than its factorization.

83117352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 83117352 is about 9116.8718319388. The cubic root of 83117352 is about 436.4125517450.

The spelling of 83117352 in words is "eighty-three million, one hundred seventeen thousand, three hundred fifty-two".