18195 has 8 divisors (see below), whose sum is σ = 29136. Its totient is φ = 9696.

The previous prime is 18191. The next prime is 18199. The reversal of 18195 is 59181.

It is an interprime number because it is at equal distance from previous prime (18191) and next prime (18199).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 18195 - 2² = 18191 is a prime.

It is an Ulam number.

18195 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18191) by changing a digit.

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, 592 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (3642).

2¹⁸¹⁹⁵ is an apocalyptic number.

18195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18195 is a deficient number, since it is larger than the sum of its proper divisors (10941).

18195 is a wasteful number, since it uses less digits than its factorization.

18195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221.

The product of its digits is 360, while the sum is 24.

The square root of 18195 is about 134.8888431265. Note that the first 4 decimals coincide. The cubic root of 18195 is about 26.3017121199.

It can be divided in two parts, 181 and 95, that added together give a triangular number (276 = T₂₃).

The spelling of 18195 in words is "eighteen thousand, one hundred ninety-five".