212765982 has 128 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 53975040.

The previous prime is 212765963. The next prime is 212765983. The reversal of 212765982 is 289567212.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 422743 + ... + 423245.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^212765982 is an apocalyptic number.

212765982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 14586×14587.

It is a practical number, because each smaller number is the sum of distinct divisors of 212765982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

212765982 is an abundant number, since it is smaller than the sum of its proper divisors (335908578).

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

212765982 is a wasteful number, since it uses less digits than its factorization.

212765982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 120960, while the sum is 42.

The square root of 212765982 is about 14586.4999914304. The cubic root of 212765982 is about 596.9904686632.

The spelling of 212765982 in words is "two hundred twelve million, seven hundred sixty-five thousand, nine hundred eighty-two".