213844104 has 64 divisors (see below), whose sum is σ = 596097600. Its totient is φ = 71031168.

The previous prime is 213844063. The next prime is 213844109. The reversal of 213844104 is 401448312.

213844104 is a `hidden beast` number, since 213 + 8 + 441 + 0 + 4 = 666.

213844104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213844109) 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 15 ways as a sum of consecutive naturals, for example, 66027 + ... + 69189.

It is an arithmetic number, because the mean of its divisors is an integer number (9314025).

Almost surely, 2^213844104 is an apocalyptic number.

213844104 is a gapful number since it is divisible by the number (24) 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 213844104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298048800).

213844104 is an abundant number, since it is smaller than the sum of its proper divisors (382253496).

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

213844104 is a wasteful number, since it uses less digits than its factorization.

213844104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 213844104 is about 14623.4094519712. The cubic root of 213844104 is about 597.9971215694.

The spelling of 213844104 in words is "two hundred thirteen million, eight hundred forty-four thousand, one hundred four".