212538664 has 32 divisors (see below), whose sum is σ = 433125000. Its totient is φ = 97189632.

The previous prime is 212538661. The next prime is 212538671. The reversal of 212538664 is 466835212.

212538664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 178222500 + 34316164 = 13350^2 + 5858^2 .

It is not an unprimeable number, because it can be changed into a prime (212538661) 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, 1962 + ... + 20710.

Almost surely, 2^212538664 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 212538664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216562500).

212538664 is an abundant number, since it is smaller than the sum of its proper divisors (220586336).

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

212538664 is a wasteful number, since it uses less digits than its factorization.

212538664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18877 (or 18873 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 212538664 is about 14578.7058410546. The cubic root of 212538664 is about 596.7777857956. Note that the first 4 decimals are identical.

The spelling of 212538664 in words is "two hundred twelve million, five hundred thirty-eight thousand, six hundred sixty-four".