83617056 has 48 divisors (see below), whose sum is σ = 243885600. Its totient is φ = 27872064.

The previous prime is 83617049. The next prime is 83617097. The reversal of 83617056 is 65071638.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 83617056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47526 + ... + 49253.

It is an arithmetic number, because the mean of its divisors is an integer number (5080950).

Almost surely, 2^83617056 is an apocalyptic number.

It is an amenable number.

83617056 is an abundant number, since it is smaller than the sum of its proper divisors (160268544).

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

83617056 is a wasteful number, since it uses less digits than its factorization.

83617056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96798 (or 96784 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83617056 is about 9144.2362174213. The cubic root of 83617056 is about 437.2853800122.

The spelling of 83617056 in words is "eighty-three million, six hundred seventeen thousand, fifty-six".