83161344 has 144 divisors (see below), whose sum is σ = 261632000. Its totient is φ = 22947840.

The previous prime is 83161343. The next prime is 83161349. The reversal of 83161344 is 44316138.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83161343) 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, 166407 + ... + 166905.

Almost surely, 2^83161344 is an apocalyptic number.

83161344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130816000).

83161344 is an abundant number, since it is smaller than the sum of its proper divisors (178470656).

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

83161344 is a wasteful number, since it uses less digits than its factorization.

83161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 83161344 is about 9119.2841824345. The cubic root of 83161344 is about 436.4895323609.

It can be divided in two parts, 8316134 and 4, that added together give a palindrome (8316138).

The spelling of 83161344 in words is "eighty-three million, one hundred sixty-one thousand, three hundred forty-four".