5005820 has 24 divisors (see below), whose sum is σ = 11131344. Its totient is φ = 1884416.

The previous prime is 5005817. The next prime is 5005823. The reversal of 5005820 is 285005.

It is an interprime number because it is at equal distance from previous prime (5005817) and next prime (5005823).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5005792 and 5005801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005823) 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, 7022 + ... + 7701.

It is an arithmetic number, because the mean of its divisors is an integer number (463806).

Almost surely, 2^5005820 is an apocalyptic number.

It is an amenable number.

5005820 is an abundant number, since it is smaller than the sum of its proper divisors (6125524).

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

5005820 is a wasteful number, since it uses less digits than its factorization.

5005820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14749 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5005820 is about 2237.3689905780. The cubic root of 5005820 is about 171.0639160084.

The spelling of 5005820 in words is "five million, five thousand, eight hundred twenty".