212562 has 36 divisors (see below), whose sum is σ = 537966. Its totient is φ = 60480.

The previous prime is 212561. The next prime is 212573. The reversal of 212562 is 265212.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 53361 = 399^2 + 231^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212562.

It is not an unprimeable number, because it can be changed into a prime (212561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 762 + ... + 1002.

2²¹²⁵⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268983).

212562 is an abundant number, since it is smaller than the sum of its proper divisors (325404).

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

212562 is a wasteful number, since it uses less digits than its factorization.

212562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 212562 is about 461.0444664021. The cubic root of 212562 is about 59.6799626366.

Adding to 212562 its reverse (265212), we get a palindrome (477774).

Subtracting 212562 from its reverse (265212), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 2125 and 62, that added together give a 7-th power (2187 = 3⁷).

The spelling of 212562 in words is "two hundred twelve thousand, five hundred sixty-two".