212825536 has 112 divisors (see below), whose sum is σ = 554492160. Its totient is φ = 78520320.

The previous prime is 212825521. The next prime is 212825549. The reversal of 212825536 is 635528212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92496 + ... + 94768.

Almost surely, 2^212825536 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 212825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277246080).

212825536 is an abundant number, since it is smaller than the sum of its proper divisors (341666624).

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

212825536 is a wasteful number, since it uses less digits than its factorization.

212825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2312 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 212825536 is about 14588.5412567535. The cubic root of 212825536 is about 597.0461634276.

The spelling of 212825536 in words is "two hundred twelve million, eight hundred twenty-five thousand, five hundred thirty-six".