5217100 has 72 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 1720320.

The previous prime is 5217059. The next prime is 5217101. The reversal of 5217100 is 17125.

5217100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5217101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20172 + ... + 20428.

It is an arithmetic number, because the mean of its divisors is an integer number (186620).

Almost surely, 2^5217100 is an apocalyptic number.

5217100 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 5217100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

5217100 is an abundant number, since it is smaller than the sum of its proper divisors (8219540).

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

5217100 is a wasteful number, since it uses less digits than its factorization.

5217100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 5217100 is about 2284.0971958303. The cubic root of 5217100 is about 173.4375195466.

The spelling of 5217100 in words is "five million, two hundred seventeen thousand, one hundred".