14805 has 24 divisors (see below), whose sum is σ = 29952. Its totient is φ = 6624.

The previous prime is 14797. The next prime is 14813. The reversal of 14805 is 50841.

It is an interprime number because it is at equal distance from previous prime (14797) and next prime (14813).

It is not a de Polignac number, because 14805 - 2³ = 14797 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 5 and base 7.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (1248).

2¹⁴⁸⁰⁵ is an apocalyptic number.

14805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14805 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976).

14805 is a wasteful number, since it uses less digits than its factorization.

14805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14805 is about 121.6757987440. The cubic root of 14805 is about 24.5547850797.

It can be divided in two parts, 1480 and 5, that added together give a triangular number (1485 = T₅₄).

The spelling of 14805 in words is "fourteen thousand, eight hundred five".