18802 has 16 divisors (see below), whose sum is σ = 34560. Its totient is φ = 7488.

The previous prime is 18797. The next prime is 18803. The reversal of 18802 is 20881.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18802.

It is not an unprimeable number, because it can be changed into a prime (18803) by changing a digit.

18802 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁸⁸⁰² is an apocalyptic number.

18802 is a deficient number, since it is larger than the sum of its proper divisors (15758).

18802 is a wasteful number, since it uses less digits than its factorization.

18802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18802 is about 137.1203850636. The cubic root of 18802 is about 26.5910007811.

It can be divided in two parts, 18 and 802, that added together give a triangular number (820 = T₄₀).

The spelling of 18802 in words is "eighteen thousand, eight hundred two".