83356 has 24 divisors (see below), whose sum is σ = 180320. Its totient is φ = 32832.

The previous prime is 83341. The next prime is 83357. The reversal of 83356 is 65338.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 478.

2⁸³³⁵⁶ 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 83356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90160).

83356 is an abundant number, since it is smaller than the sum of its proper divisors (96964).

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

83356 is a wasteful number, since it uses less digits than its factorization.

83356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 83356 is about 288.7143917438. The cubic root of 83356 is about 43.6829831092.

It can be divided in two parts, 8 and 3356, that added together give a square (3364 = 58²).

The spelling of 83356 in words is "eighty-three thousand, three hundred fifty-six".