163212 has 48 divisors (see below), whose sum is σ = 456960. Its totient is φ = 44352.

The previous prime is 163211. The next prime is 163223. The reversal of 163212 is 212361.

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

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 163191 and 163200.

It is not an unprimeable number, because it can be changed into a prime (163211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2403 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2¹⁶³²¹² is an apocalyptic number.

163212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

163212 is an abundant number, since it is smaller than the sum of its proper divisors (293748).

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

163212 is a wasteful number, since it uses less digits than its factorization.

163212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 163212 is about 403.9950494746. The cubic root of 163212 is about 54.6492276981.

Adding to 163212 its reverse (212361), we get a palindrome (375573).

The spelling of 163212 in words is "one hundred sixty-three thousand, two hundred twelve".