214812 has 72 divisors (see below), whose sum is σ = 642096. Its totient is φ = 62208.

The previous prime is 214811. The next prime is 214817. The reversal of 214812 is 218412.

214812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214812² = 92288390688, which contains 22 as substring.

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

It is an Ulam 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 214812.

It is not an unprimeable number, because it can be changed into a prime (214811) 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, 12628 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2²¹⁴⁸¹² 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 214812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

214812 is an abundant number, since it is smaller than the sum of its proper divisors (427284).

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

214812 is a wasteful number, since it uses less digits than its factorization.

214812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 214812 is about 463.4781548250. The cubic root of 214812 is about 59.8897977149.

Subtracting 214812 from its reverse (218412), we obtain a square (3600 = 60²).

The spelling of 214812 in words is "two hundred fourteen thousand, eight hundred twelve".