83556 has 36 divisors (see below), whose sum is σ = 231504. Its totient is φ = 25200.

The previous prime is 83537. The next prime is 83557. The reversal of 83556 is 65538.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (83557) by changing a digit.

83556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 501.

2⁸³⁵⁵⁶ 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 83556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115752).

83556 is an abundant number, since it is smaller than the sum of its proper divisors (147948).

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

83556 is a wasteful number, since it uses less digits than its factorization.

83556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 83556 is about 289.0605472907. The cubic root of 83556 is about 43.7178920882.

The spelling of 83556 in words is "eighty-three thousand, five hundred fifty-six".