80292 has 12 divisors (see below), whose sum is σ = 187376. Its totient is φ = 26760.

The previous prime is 80287. The next prime is 80309. The reversal of 80292 is 29208.

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

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80292.

It is an unprimeable number.

80292 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 3 ways as a sum of consecutive naturals, for example, 3334 + ... + 3357.

2⁸⁰²⁹² is an apocalyptic number.

It is an amenable number.

80292 is an abundant number, since it is smaller than the sum of its proper divisors (107084).

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 (93688).

80292 is a wasteful number, since it uses less digits than its factorization.

80292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6696 counting only the distinct ones).

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

The square root of 80292 is about 283.3584302610. The cubic root of 80292 is about 43.1410547239.

The spelling of 80292 in words is "eighty thousand, two hundred ninety-two".