83382912 has 128 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 26560512.

The previous prime is 83382911. The next prime is 83382931. The reversal of 83382912 is 21928338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83382911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78964 + ... + 80012.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^83382912 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 83382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

83382912 is an abundant number, since it is smaller than the sum of its proper divisors (173657088).

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

83382912 is a wasteful number, since it uses less digits than its factorization.

83382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1077 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83382912 is about 9131.4244233854. The cubic root of 83382912 is about 436.8768371048.

The spelling of 83382912 in words is "eighty-three million, three hundred eighty-two thousand, nine hundred twelve".