18345 has 8 divisors (see below), whose sum is σ = 29376. Its totient is φ = 9776.

The previous prime is 18341. The next prime is 18353. The reversal of 18345 is 54381.

18345 = 23² + 24² + ... + 40².

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

It is a cyclic number.

It is not a de Polignac number, because 18345 - 2² = 18341 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (3672).

2¹⁸³⁴⁵ is an apocalyptic number.

18345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18345 is a deficient number, since it is larger than the sum of its proper divisors (11031).

18345 is a wasteful number, since it uses less digits than its factorization.

18345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

The product of its digits is 480, while the sum is 21.

The square root of 18345 is about 135.4437152473. The cubic root of 18345 is about 26.3737917133.

It can be divided in two parts, 18 and 345, that added together give a palindrome (363).

The spelling of 18345 in words is "eighteen thousand, three hundred forty-five".