8492 has 12 divisors (see below), whose sum is σ = 16296. Its totient is φ = 3840.

The previous prime is 8467. The next prime is 8501. The reversal of 8492 is 2948.

8492 = 29² + 30² + ... + 36².

It is a super-2 number, since 2×8492² = 144228128, which contains 22 as substring.

It is a nialpdrome in base 11.

It is an unprimeable number.

8492 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (1358).

2⁸⁴⁹² is an apocalyptic number.

It is an amenable number.

8492 is a deficient number, since it is larger than the sum of its proper divisors (7804).

8492 is a wasteful number, since it uses less digits than its factorization.

8492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 8492 is about 92.1520482681. The cubic root of 8492 is about 20.4018709036.

Adding to 8492 its sum of digits (23), we get a triangular number (8515 = T₁₃₀).

The spelling of 8492 in words is "eight thousand, four hundred ninety-two".