83941344 has 72 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 27870720.

The previous prime is 83941339. The next prime is 83941349. The reversal of 83941344 is 44314938.

It is an interprime number because it is at equal distance from previous prime (83941339) and next prime (83941349).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×83941344² = 14092298465052672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 83941299 and 83941308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83941349) 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 11 ways as a sum of consecutive naturals, for example, 109924 + ... + 110684.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^83941344 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 83941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

83941344 is an abundant number, since it is smaller than the sum of its proper divisors (155704608).

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

83941344 is a wasteful number, since it uses less digits than its factorization.

83941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83941344 is about 9161.9508839548. The cubic root of 83941344 is about 437.8499517305.

The spelling of 83941344 in words is "eighty-three million, nine hundred forty-one thousand, three hundred forty-four".