213808500 has 72 divisors (see below), whose sum is σ = 674508744. Its totient is φ = 57014400.

The previous prime is 213808487. The next prime is 213808547. The reversal of 213808500 is 5808312.

It is a happy number.

213808500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 187306596 = 5148^2 + 13686^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19257 + ... + 28256.

It is an arithmetic number, because the mean of its divisors is an integer number (9368177).

Almost surely, 2^213808500 is an apocalyptic number.

213808500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213808500 is an abundant number, since it is smaller than the sum of its proper divisors (460700244).

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

213808500 is a wasteful number, since it uses less digits than its factorization.

213808500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47538 (or 47523 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 213808500 is about 14622.1920381316. The cubic root of 213808500 is about 597.9639318596.

The spelling of 213808500 in words is "two hundred thirteen million, eight hundred eight thousand, five hundred".