83741056 has 64 divisors (see below), whose sum is σ = 200736000. Its totient is φ = 33993216.

The previous prime is 83741029. The next prime is 83741083. The reversal of 83741056 is 65014738.

It is an interprime number because it is at equal distance from previous prime (83741029) and next prime (83741083).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14565 + ... + 19483.

It is an arithmetic number, because the mean of its divisors is an integer number (3136500).

Almost surely, 2^83741056 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 83741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100368000).

83741056 is an abundant number, since it is smaller than the sum of its proper divisors (116994944).

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

83741056 is a wasteful number, since it uses less digits than its factorization.

83741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 83741056 is about 9151.0139328929. The cubic root of 83741056 is about 437.5014308525.

The spelling of 83741056 in words is "eighty-three million, seven hundred forty-one thousand, fifty-six".