212765984 has 48 divisors (see below), whose sum is σ = 436435776. Its totient is φ = 102009600.

The previous prime is 212765983. The next prime is 212766013. The reversal of 212765984 is 489567212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212765983) 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, 82799 + ... + 85329.

It is an arithmetic number, because the mean of its divisors is an integer number (9092412).

Almost surely, 2^212765984 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 212765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218217888).

212765984 is an abundant number, since it is smaller than the sum of its proper divisors (223669792).

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

212765984 is a wasteful number, since it uses less digits than its factorization.

212765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 212765984 is about 14586.5000599870. The cubic root of 212765984 is about 596.9904705337.

The spelling of 212765984 in words is "two hundred twelve million, seven hundred sixty-five thousand, nine hundred eighty-four".