83327832 has 96 divisors (see below), whose sum is σ = 269290800. Its totient is φ = 23804928.

The previous prime is 83327831. The next prime is 83327837. The reversal of 83327832 is 23872338.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83327831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6648 + ... + 14520.

Almost surely, 2^83327832 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 83327832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645400).

83327832 is an abundant number, since it is smaller than the sum of its proper divisors (185962968).

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

83327832 is a wasteful number, since it uses less digits than its factorization.

83327832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7885 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 83327832 is about 9128.4079663433. The cubic root of 83327832 is about 436.7806204420.

The spelling of 83327832 in words is "eighty-three million, three hundred twenty-seven thousand, eight hundred thirty-two".