5820 has 24 divisors (see below), whose sum is σ = 16464. Its totient is φ = 1536.

The previous prime is 5813. The next prime is 5821. The reversal of 5820 is 285.

Added to its reverse (285) it gives a triangular number (6105 = T_{110}).

5820 = T_{29} + T_{30} + ... +
T_{38}.

5820 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 5820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5821) 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, 12 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (686).

2^{5820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232).

5820 is an abundant number, since it is smaller than the sum of its proper divisors (10644).

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

5820 is a wasteful number, since it uses less digits than its factorization.

5820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5820 is about 76.2889244910. The cubic root of 5820 is about 17.9876458438.

Adding to 5820 its reverse (285), we get a triangular number (6105 = T_{110}).

It can be divided in two parts, 58 and 20, that added together give a triangular number (78 = T_{12}).

The spelling of 5820 in words is "five thousand, eight hundred twenty".

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