213504032 has 96 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 84446208.

The previous prime is 213504017. The next prime is 213504041. The reversal of 213504032 is 230405312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213503995 and 213504013.

It is an unprimeable number.

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, 148694 + ... + 150122.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^213504032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

213504032 is an abundant number, since it is smaller than the sum of its proper divisors (305414368).

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

213504032 is a wasteful number, since it uses less digits than its factorization.

213504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213504032 is about 14611.7771677507. Note that the first 3 decimals coincide. The cubic root of 213504032 is about 597.6799590983.

Adding to 213504032 its reverse (230405312), we get a palindrome (443909344).

It can be divided in two parts, 21 and 3504032, that added together give a palindrome (3504053).

The spelling of 213504032 in words is "two hundred thirteen million, five hundred four thousand, thirty-two".