83976 has 16 divisors (see below), whose sum is σ = 210000. Its totient is φ = 27984.

The previous prime is 83969. The next prime is 83983. The reversal of 83976 is 67938.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83969) and next prime (83983).

It is an unprimeable number.

83976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1726 + ... + 1773.

It is an arithmetic number, because the mean of its divisors is an integer number (13125).

2⁸³⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

83976 is an abundant number, since it is smaller than the sum of its proper divisors (126024).

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 (105000).

83976 is a wasteful number, since it uses less digits than its factorization.

83976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3504 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 83976 is about 289.7861280324. The cubic root of 83976 is about 43.7910200310.

The spelling of 83976 in words is "eighty-three thousand, nine hundred seventy-six".