212550 has 48 divisors (see below), whose sum is σ = 572880. Its totient is φ = 51840.

The previous prime is 212507. The next prime is 212557. The reversal of 212550 is 55212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212550.

It is not an unprimeable number, because it can be changed into a prime (212557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (11935).

2²¹²⁵⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286440).

212550 is an abundant number, since it is smaller than the sum of its proper divisors (360330).

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

212550 is a wasteful number, since it uses less digits than its factorization.

212550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 212550 is about 461.0314522893. The cubic root of 212550 is about 59.6788395556.

Adding to 212550 its reverse (55212), we get a palindrome (267762).

The spelling of 212550 in words is "two hundred twelve thousand, five hundred fifty".