83792 has 10 divisors (see below), whose sum is σ = 162378. Its totient is φ = 41888.

The previous prime is 83791. The next prime is 83813. The reversal of 83792 is 29738.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 3136 = 284^2 + 56^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2603 + ... + 2634.

2⁸³⁷⁹² is an apocalyptic number.

It is an amenable number.

83792 is a deficient number, since it is larger than the sum of its proper divisors (78586).

83792 is a wasteful number, since it uses less digits than its factorization.

83792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5239 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 83792 is about 289.4684784221. The cubic root of 83792 is about 43.7590131090.

It can be divided in two parts, 837 and 92, that added together give a palindrome (929).

The spelling of 83792 in words is "eighty-three thousand, seven hundred ninety-two".