667212 has 72 divisors (see below), whose sum is σ = 1967616. Its totient is φ = 172224.

The previous prime is 667211. The next prime is 667229. The reversal of 667212 is 212766.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1008) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667211) 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, 14173 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (27328).

2⁶⁶⁷²¹² 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 667212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983808).

667212 is an abundant number, since it is smaller than the sum of its proper divisors (1300404).

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

667212 is a wasteful number, since it uses less digits than its factorization.

667212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 667212 is about 816.8304597651. The cubic root of 667212 is about 87.3818596091.

Adding to 667212 its reverse (212766), we get a palindrome (879978).

The spelling of 667212 in words is "six hundred sixty-seven thousand, two hundred twelve".