212085552 has 80 divisors (see below), whose sum is σ = 635570432. Its totient is φ = 59685120.

The previous prime is 212085547. The next prime is 212085563. The reversal of 212085552 is 255580212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17802 + ... + 27222.

Almost surely, 2^212085552 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 212085552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317785216).

212085552 is an abundant number, since it is smaller than the sum of its proper divisors (423484880).

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

212085552 is a wasteful number, since it uses less digits than its factorization.

212085552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 212085552 is about 14563.1573499705. The cubic root of 212085552 is about 596.3533931077.

The spelling of 212085552 in words is "two hundred twelve million, eighty-five thousand, five hundred fifty-two".