213634752 has 56 divisors (see below), whose sum is σ = 574852800. Its totient is φ = 70000896.

The previous prime is 213634739. The next prime is 213634753. The reversal of 213634752 is 257436312.

It is not an unprimeable number, because it can be changed into a prime (213634753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 20757.

Almost surely, 2^213634752 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 213634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287426400).

213634752 is an abundant number, since it is smaller than the sum of its proper divisors (361218048).

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

213634752 is a wasteful number, since it uses less digits than its factorization.

213634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18933 (or 18923 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 213634752 is about 14616.2495873600. The cubic root of 213634752 is about 597.8019127431.

Adding to 213634752 its sum of digits (33), we get a triangular number (213634785 = T₂₀₆₇₀).

The spelling of 213634752 in words is "two hundred thirteen million, six hundred thirty-four thousand, seven hundred fifty-two".