212952 has 32 divisors (see below), whose sum is σ = 561600. Its totient is φ = 67104.

The previous prime is 212923. The next prime is 212969. The reversal of 212952 is 259212.

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, 223 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2²¹²⁹⁵² 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 212952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

212952 is an abundant number, since it is smaller than the sum of its proper divisors (348648).

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

212952 is a wasteful number, since it uses less digits than its factorization.

212952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 212952 is about 461.4672252717. The cubic root of 212952 is about 59.7164397823.

Adding to 212952 its product of digits (360), we get a palindrome (213312).

The spelling of 212952 in words is "two hundred twelve thousand, nine hundred fifty-two".