14820 has 48 divisors (see below), whose sum is σ = 47040. Its totient is φ = 3456.

The previous prime is 14813. The next prime is 14821. The reversal of 14820 is 2841.

14820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

14820 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 14820.

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 14820.

It is not an unprimeable number, because it can be changed into a prime (14821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2¹⁴⁸²⁰ is an apocalyptic number.

14820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520).

14820 is an abundant number, since it is smaller than the sum of its proper divisors (32220).

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

14820 is a wasteful number, since it uses less digits than its factorization.

14820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14820 is about 121.7374223483. The cubic root of 14820 is about 24.5630750145.

Adding to 14820 its product of nonzero digits (64), we get a square (14884 = 122²).

The spelling of 14820 in words is "fourteen thousand, eight hundred twenty".