18792 has 40 divisors (see below), whose sum is σ = 54450. Its totient is φ = 6048.

The previous prime is 18787. The next prime is 18793. The reversal of 18792 is 29781.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 2916 = 126^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18793) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 634 + ... + 662.

2¹⁸⁷⁹² is an apocalyptic number.

18792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

18792 is the 87-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225).

18792 is an abundant number, since it is smaller than the sum of its proper divisors (35658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18792 is a wasteful number, since it uses less digits than its factorization.

18792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 18792 is about 137.0839159056. The cubic root of 18792 is about 26.5862857302.

18792 divided by its sum of digits (27) gives a palindrome (696).

It can be divided in two parts, 1879 and 2, that added together give a palindrome (1881).

The spelling of 18792 in words is "eighteen thousand, seven hundred ninety-two".