213943104 has 84 divisors (see below), whose sum is σ = 623384580. Its totient is φ = 70133760.

The previous prime is 213943061. The next prime is 213943117. The reversal of 213943104 is 401349312.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 190440000 = 4848^2 + 13800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32092 + ... + 38180.

It is an arithmetic number, because the mean of its divisors is an integer number (7421245).

Almost surely, 2^213943104 is an apocalyptic number.

213943104 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 213943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311692290).

213943104 is an abundant number, since it is smaller than the sum of its proper divisors (409441476).

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

213943104 is a wasteful number, since it uses less digits than its factorization.

213943104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213943104 is about 14626.7940438088. The cubic root of 213943104 is about 598.0893890677.

The spelling of 213943104 in words is "two hundred thirteen million, nine hundred forty-three thousand, one hundred four".