83892 has 12 divisors (see below), whose sum is σ = 195776. Its totient is φ = 27960.

The previous prime is 83891. The next prime is 83903. The reversal of 83892 is 29838.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3484 + ... + 3507.

2⁸³⁸⁹² is an apocalyptic number.

It is an amenable number.

83892 is an abundant number, since it is smaller than the sum of its proper divisors (111884).

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 (97888).

83892 is a wasteful number, since it uses less digits than its factorization.

83892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6996 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 83892 is about 289.6411572964. The cubic root of 83892 is about 43.7764139814.

The spelling of 83892 in words is "eighty-three thousand, eight hundred ninety-two".