5882100 has 72 divisors (see below), whose sum is σ = 19457088. Its totient is φ = 1344000.

The previous prime is 5882083. The next prime is 5882101. The reversal of 5882100 is 12885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5882101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700 + ... + 3500.

Almost surely, 2^5882100 is an apocalyptic number.

5882100 is a gapful number since it is divisible by the number (50) 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 5882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728544).

5882100 is an abundant number, since it is smaller than the sum of its proper divisors (13574988).

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

5882100 is a wasteful number, since it uses less digits than its factorization.

5882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5882100 is about 2425.3041046434. The cubic root of 5882100 is about 180.5139631568.

Adding to 5882100 its reverse (12885), we get a palindrome (5894985).

The spelling of 5882100 in words is "five million, eight hundred eighty-two thousand, one hundred".