8292 has 12 divisors (see below), whose sum is σ = 19376. Its totient is φ = 2760.

The previous prime is 8291. The next prime is 8293. The reversal of 8292 is 2928.

8292 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (8291) and next prime (8293).

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 (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (8291) 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, 334 + ... + 357.

2⁸²⁹² is an apocalyptic number.

It is an amenable number.

8292 is an abundant number, since it is smaller than the sum of its proper divisors (11084).

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 (9688).

8292 is a wasteful number, since it uses less digits than its factorization.

8292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 8292 is about 91.0604195027. The cubic root of 8292 is about 20.2404313885.

It can be divided in two parts, 8 and 292, that added together give a triangular number (300 = T₂₄).

The spelling of 8292 in words is "eight thousand, two hundred ninety-two".