83832336 has 135 divisors (see below), whose sum is σ = 275445261. Its totient is φ = 23732352.

The previous prime is 83832299. The next prime is 83832377. The reversal of 83832336 is 63323838.

The square root of 83832336 is 9156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 25401600 = 7644^2 + 5040^2 .

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 self number, because there is not a number n which added to its sum of digits gives 83832336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769050 + ... + 769158.

Almost surely, 2^83832336 is an apocalyptic number.

83832336 is the 9156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83832336

83832336 is an abundant number, since it is smaller than the sum of its proper divisors (191612925).

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

83832336 is a wasteful number, since it uses less digits than its factorization.

83832336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 83832336 is about 437.6603358993.

Multiplying 83832336 by its sum of digits (36), we get a square (3017964096 = 54936²).

83832336 divided by its sum of digits (36) gives a square (2328676 = 1526²).

The spelling of 83832336 in words is "eighty-three million, eight hundred thirty-two thousand, three hundred thirty-six".