83916 has 60 divisors (see below), whose sum is σ = 257488. Its totient is φ = 23328.

The previous prime is 83911. The next prime is 83921. The reversal of 83916 is 61938.

83916 = T₄₈ + T₄₉ + ... + T₈₄.

83916 = 13³ + 14³ + ... + 24³.

It is an interprime number because it is at equal distance from previous prime (83911) and next prime (83921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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 83916.

It is not an unprimeable number, because it can be changed into a prime (83911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2250 + ... + 2286.

2⁸³⁹¹⁶ 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 83916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128744).

83916 is an abundant number, since it is smaller than the sum of its proper divisors (173572).

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

83916 is a wasteful number, since it uses less digits than its factorization.

83916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 83916 is about 289.6825849098. The cubic root of 83916 is about 43.7805881329.

It can be divided in two parts, 83 and 916, that added together give a palindrome (999).

The spelling of 83916 in words is "eighty-three thousand, nine hundred sixteen".