83111976 has 48 divisors (see below), whose sum is σ = 226299060. Its totient is φ = 27555840.

The previous prime is 83111971. The next prime is 83111989. The reversal of 83111976 is 67911138.

It can be written as a sum of positive squares in 2 ways, for example, as 67667076 + 15444900 = 8226^2 + 3930^2 .

It is a super-3 number, since 3×83111976³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83111976.

It is not an unprimeable number, because it can be changed into a prime (83111971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10906 + ... + 16886.

Almost surely, 2^83111976 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 83111976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113149530).

83111976 is an abundant number, since it is smaller than the sum of its proper divisors (143187084).

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

83111976 is a wasteful number, since it uses less digits than its factorization.

83111976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6179 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 83111976 is about 9116.5769891994. The cubic root of 83111976 is about 436.4031425406.

The spelling of 83111976 in words is "eighty-three million, one hundred eleven thousand, nine hundred seventy-six".