212712564 has 48 divisors (see below), whose sum is σ = 515934720. Its totient is φ = 68127360.

The previous prime is 212712527. The next prime is 212712569. The reversal of 212712564 is 465217212.

212712564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212712569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76234 + ... + 78974.

It is an arithmetic number, because the mean of its divisors is an integer number (10748640).

Almost surely, 2^212712564 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 212712564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257967360).

212712564 is an abundant number, since it is smaller than the sum of its proper divisors (303222156).

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

212712564 is a wasteful number, since it uses less digits than its factorization.

212712564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2998 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 212712564 is about 14584.6687998048. The cubic root of 212712564 is about 596.9405034294.

Adding to 212712564 its reverse (465217212), we get a palindrome (677929776).

The spelling of 212712564 in words is "two hundred twelve million, seven hundred twelve thousand, five hundred sixty-four".