83996 has 24 divisors (see below), whose sum is σ = 169344. Its totient is φ = 36080.

The previous prime is 83987. The next prime is 84011. The reversal of 83996 is 69938.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83996.

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, 971 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸³⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

83996 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

83996 is a wasteful number, since it uses less digits than its factorization.

83996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 83996 is about 289.8206341860. The cubic root of 83996 is about 43.7944962261.

It can be divided in two parts, 8 and 3996, that added together give a palindrome (4004).

The spelling of 83996 in words is "eighty-three thousand, nine hundred ninety-six".