18292 has 12 divisors (see below), whose sum is σ = 34020. Its totient is φ = 8576.

The previous prime is 18289. The next prime is 18301. The reversal of 18292 is 29281.

18292 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 11236 = 84^2 + 106^2 .

Its product of digits (288) is a multiple of the sum of its prime divisors (288).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2¹⁸²⁹² is an apocalyptic number.

18292 is the 68-th decagonal number.

It is an amenable number.

18292 is a deficient number, since it is larger than the sum of its proper divisors (15728).

18292 is a wasteful number, since it uses less digits than its factorization.

18292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 18292 is about 135.2479205016. The cubic root of 18292 is about 26.3483686326.

The spelling of 18292 in words is "eighteen thousand, two hundred ninety-two".