213352832 has 64 divisors (see below), whose sum is σ = 529943040. Its totient is φ = 83120640.

The previous prime is 213352829. The next prime is 213352837. The reversal of 213352832 is 238253312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 213352795 and 213352804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213352837) 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 7 ways as a sum of consecutive naturals, for example, 968 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (8280360).

Almost surely, 2^213352832 is an apocalyptic number.

213352832 is a gapful number since it is divisible by the number (22) 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 213352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264971520).

213352832 is an abundant number, since it is smaller than the sum of its proper divisors (316590208).

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

213352832 is a wasteful number, since it uses less digits than its factorization.

213352832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21679 (or 21667 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 213352832 is about 14606.6023427764. The cubic root of 213352832 is about 597.5388367816.

The spelling of 213352832 in words is "two hundred thirteen million, three hundred fifty-two thousand, eight hundred thirty-two".