5638100 has 36 divisors (see below), whose sum is σ = 13178844. Its totient is φ = 2081280.

The previous prime is 5638057. The next prime is 5638103. The reversal of 5638100 is 18365.

It can be written as a sum of positive squares in 6 ways, for example, as 2208196 + 3429904 = 1486^2 + 1852^2 .

It is a super-2 number, since 2×5638100² = 63576343220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638103) 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 11 ways as a sum of consecutive naturals, for example, 869 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (366079).

Almost surely, 2^5638100 is an apocalyptic number.

5638100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5638100 is an abundant number, since it is smaller than the sum of its proper divisors (7540744).

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

5638100 is a wasteful number, since it uses less digits than its factorization.

5638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5638100 is about 2374.4683615496. The cubic root of 5638100 is about 177.9826183423.

The spelling of 5638100 in words is "five million, six hundred thirty-eight thousand, one hundred".