212605936 has 40 divisors (see below), whose sum is σ = 426560000. Its totient is φ = 102548160.

The previous prime is 212605933. The next prime is 212605937. The reversal of 212605936 is 639506212.

212605936 is digitally balanced in base 2, 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 (212605933) 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, 247075 + ... + 247933.

It is an arithmetic number, because the mean of its divisors is an integer number (10664000).

Almost surely, 2^212605936 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 212605936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213280000).

212605936 is an abundant number, since it is smaller than the sum of its proper divisors (213954064).

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

212605936 is a wasteful number, since it uses less digits than its factorization.

212605936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 212605936 is about 14581.0128591947. The cubic root of 212605936 is about 596.8407424981.

The spelling of 212605936 in words is "two hundred twelve million, six hundred five thousand, nine hundred thirty-six".