83292 has 24 divisors (see below), whose sum is σ = 212352. Its totient is φ = 25200.

The previous prime is 83273. The next prime is 83299. The reversal of 83292 is 29238.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83299) by changing a digit.

83292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (8848).

2⁸³²⁹² is an apocalyptic number.

It is an amenable number.

83292 is an abundant number, since it is smaller than the sum of its proper divisors (129060).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176).

83292 is a wasteful number, since it uses less digits than its factorization.

83292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 83292 is about 288.6035342819. The cubic root of 83292 is about 43.6718004440.

Subtracting from 83292 its product of digits (864), we obtain a palindrome (82428).

The spelling of 83292 in words is "eighty-three thousand, two hundred ninety-two".