212821952 has 56 divisors (see below), whose sum is σ = 499323360. Its totient is φ = 88058880.

The previous prime is 212821933. The next prime is 212821979. The reversal of 212821952 is 259128212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4802 + ... + 21182.

Almost surely, 2^212821952 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 212821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249661680).

212821952 is an abundant number, since it is smaller than the sum of its proper divisors (286501408).

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

212821952 is a wasteful number, since it uses less digits than its factorization.

212821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16429 (or 16419 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 212821952 is about 14588.4184201030. The cubic root of 212821952 is about 597.0428119728.

The spelling of 212821952 in words is "two hundred twelve million, eight hundred twenty-one thousand, nine hundred fifty-two".